771 article(s) in Nonlinear Analysis Modelling and Control

Minimization Of Entropy Generation Due To MHD Double Diffusive Mixed Convection In A Lid Driven Trapezoidal Cavity With Various Aspect Ratios

entropy generation minimization has significant importance in fluid flow, heat and mass transfer in an enclosure to get the maximum efficiency of a system and to reduce the loss of energy. in the present study, the analysis of mixed convection fluid flow, heat and mass transfer with heat line and mass line concept and entropy generation due to the effects of fluid flow, heat flow, mass flow and magnetic field in a trapezoidal enclosure with linearly heated and diffusive left wall, uniformly heated and diffusive lower wall, cold and nondiffusive right wall, adiabatic and zero diffusion gradient top wall have been reported. parametric studies for the wide range of prandtl number (pr = 0.7 for air cooling system and pr = 1000 for the engines filled with olive or engine oils), rayleigh number (ra = 103–105), aspect ratio (a = 0.5–1.5) and inclination angle of the cavity (ϕ = 45°–90°) have been performed, which help to construct the perfect shape of cavity in many engineering and physical applications so that the entropy is minimum to get the maximum efficiency of any system. the finite-difference approximation has been used to find out the numerical solutions. biconjugate gradient stabilized (bicgstab) method is used to solve the discretized nonhomogeneous system of linear equations Show More ... ... Show Less

  • Fluid Flow
  • Entropy Generation
  • Flow Heat
  • Mass Transfer
  • Mixed Convection
Approximations For Sums Of Three-Valued 1-Dependent Symmetric Random Variables

the sum of symmetric three-point 1-dependent nonidentically distributed random variables is approximated by a compound poisson distribution. the accuracy of approximation is estimated in the local and total variation norms. for distributions uniformly bounded from zero,the accuracy of approximation is of the order o(n–1). in the general case of triangular arrays of identically distributed summands, the accuracy is at least of the order o(n–1/2). nonuniform estimates are obtained for distribution functions and probabilities. the characteristic functionmethod is used Show More ... ... Show Less

  • Random Variables
  • Accuracy Of Approximation
  • Total Variation
  • Poisson Distribution
  • Uniformly Bounded
New Extended Generalized Kudryashov Method For Solving Three Nonlinear Partial Differential Equations

new extended generalized kudryashov method is proposed in this paper for the first time. many solitons and other solutions of three nonlinear partial differential equations (pdes), namely, the (1+1)-dimensional improved perturbed nonlinear schrödinger equation with anti-cubic nonlinearity, the (2+1)-dimensional davey–sterwatson (ds) equation and the (3+1)-dimensional modified zakharov–kuznetsov (mzk) equation of ion-acoustic waves in a magnetized plasma have been presented. comparing our new results with the well-known results are given. our results in this article emphasize that the used method gives a vast applicability for handling other nonlinear partial differential equations in mathematical physics Show More ... ... Show Less

  • Nonlinear Partial Differential Equations
  • Generalized Kudryashov Method
Turing Instability And Spatially Homogeneous Hopf Bifurcation In A Diffusive Brusselator System

the present paper deals with a reaction–diffusion brusselator system subject to the homogeneous neumann boundary condition. when the effect of spatial diffusion is neglected, the local asymptotic stability and the detailed hopf bifurcation of the unique positive equilibrium of the associated ode system are analyzed. in the stable domain of the ode system, the effect of spatial diffusion is explored, and local asymptotic stability, turing instability and existence of hopf bifurcation of the constant positive equilibrium are demonstrated. in addition, the direction of spatially homogeneous hopf bifurcation and the stability of the spatially homogeneous bifurcating periodic solutions are also investigated. finally, numerical simulations are also provided to check the obtained theoretical results Show More ... ... Show Less

  • Hopf Bifurcation
  • Spatially Homogeneous
  • Asymptotic Stability
  • Spatial Diffusion
  • Positive Equilibrium
Exponential State Estimation For Competitive Neural Network Via Stochastic Sampled-Data Control With Packet Losses

this paper investigates the exponential state estimation problem for competitive neural networks via stochastic sampled-data control with packet losses. based on this strategy, a switched system model is used to describe packet dropouts for the error system. in addition, transmittal delays between neurons are also considered. instead of the continuous measurement, the sampled measurement is used to estimate the neuron states, and a sampled-data estimator with probabilistic sampling in two sampling periods is proposed. then the estimator is designed in terms of the solution to a set of linear matrix inequalities (lmis), which can be solved by using available software. when the missing of control packet occurs, some sufficient conditions are obtained to guarantee that the exponentially stable of the error system by means of constructing an appropriate lyapunov function and using the average dwell-time technique. finally, a numerical example is given to show the effectiveness of the proposed method Show More ... ... Show Less

  • Sampled Data
  • State Estimation
  • Packet Losses
  • Data Control
  • Error System
Solvability Of Fractional Dynamic Systems Utilizing Measure Of Noncompactness

fractional dynamics is a scope of study in science considering the action of systems. these systems are designated by utilizing derivatives of arbitrary orders. in this effort, we discuss the sufficient conditions for the existence of the mild solution (m-solution) of a class of fractional dynamic systems (fds). we deal with a new family of fractional m-solution in rn for fractional dynamic systems. to accomplish it, we introduce first the concept of (f, ψ)-contraction based on the measure of noncompactness in some banach spaces. consequently, we establish requisite fixed point theorems (fpts), which extend existing results following the krasnoselskii fpt and coupled fixed point results as a outcomes of derived one. finally, we give a numerical example to verify the considered fds, and we solve it by iterative algorithm constructed by semianalytic method with high accuracy. the solution can be considered as bacterial growth system when the time interval is large Show More ... ... Show Less

  • Dynamic Systems
  • Fixed Point
  • Measure Of Noncompactness
  • Iterative Algorithm
Some New Fixed Point Results In Rectangular Metric Spaces With An Application To Fractional-Order Functional Differential Equations

in this paper, we establish some new fixed point theorems for generalized ϕ–ψ-contractive mappings satisfying an admissibility-type condition in a hausdorff rectangular metric space with the help of c-functions. in this process, we rectify the proof of theorem 3.2 due to budhia et al. [new fixed point results in rectangular metric space and application to fractional calculus, tbil. math. j., 10(1):91–104, 2017]. some examples are given to illustrate the theorems. finally, we apply our result (corollary 3.6) to establish the existence of a solution for an initial value problem of a fractional-order functional differential equation with infinite delay Show More ... ... Show Less

  • Fixed Point
  • Fractional Order
  • Rectangular Metric Space
  • Functional Differential
Electroencephalogram Spike Detection And Classification By Diagnosis With Convolutional Neural Network

this work presents convolutional neural network (cnn) based methodology for electroencephalogram (eeg) classification by diagnosis: benign childhood epilepsy with centrotemporal spikes (rolandic epilepsy) (group i) and structural focal epilepsy (group ii). manual classification of these groups is sometimes difficult, especially, when no clinical record is available, thus presenting a need for an algorithm for automatic classification. the presented algorithm has the following steps: (i) eeg spike detection by morphological filter based algorithm; (ii) classification of eeg spikes using preprocessed eeg signal data from all channels in the vicinity of the spike detected; (iii) majority rule classifier application to all eeg spikes from a single patient. classification based on majority rule allows us to achieve 80% average accuracy (despite the fact that from a single spike one would obtain only 58% accuracy Show More ... ... Show Less

  • Convolutional Neural Network
  • Majority Rule
  • Spike Detection
Controllability Of Conformable Differential Systems

this paper deals with complete controllability of systems governed by linear and semilinear conformable differential equations. by establishing conformable gram criterion and rank criterion, we give sufficient and necessary conditions to examine that a linear conformable system is null completely controllable. further, we apply krasnoselskii’s fixed point theorem to derive a completely controllability result for a semilinear conformable system. finally, three numerical examples are given to illustrate our theoretical results. Show More ... ... Show Less

  • Fixed Point Theorem
  • Differential Equations
  • Theoretical Results
  • Controllability Result
Persistence Of Nonautonomous Logistic System With Time-Varying Delays And Impulsive Perturbations

in this paper, we develop the impulsive control theory to nonautonomous logistic system with time-varying delays. some sufficient conditions ensuring the persistence of nonautonomous logistic system with time-varying delays and impulsive perturbations are derived. it is shown that the persistence of the considered system is heavily dependent on the impulsive perturbations. the proposed method of this paper is completely new. two examples and the simulations are given to illustrate the proposed method and results Show More ... ... Show Less

  • Time Varying
  • Impulsive Perturbations
  • Control Theory
  • Impulsive Control
  • Sufficient Conditions
Adaptive Composite Estimation In Small Domains

small area estimation techniques are used in sample surveys, where direct estimates for small domains are not reliable due to small sample sizes in the domains. we estimate the domain means by generalized linear compositions of the weighted sample means and the synthetic estimators that are obtained from the regression-synthetic model of fixed effects, based on the domain level auxiliary information. in the proposed method, the number of parameters of optimal compositions is reduced to a single unknown parameter, which is further evaluated by minimizing an empirical risk function. we apply various composite and related estimators to estimate proportions of the unemployed in a simulation study, based on the lithuanian labor force survey data. conclusions on advantages and disadvantages of the proposed compositions are obtained from this empirical comparison Show More ... ... Show Less

  • Survey Data
  • Area Estimation
  • Advantages And Disadvantages
  • Domain Level
  • Adaptive Composite
Lie Symmetry Analysis, Conservation Laws And Analytical Solutions For Chiral Nonlinear Schrödinger Equation In (2 + 1)-Dimensions

in this work, we consider the chiral nonlinear schrödinger equation in (2 + 1)-dimensions, which describes the envelope of amplitude in many physical media. we employ the lie symmetry analysis method to study the vector field and the optimal system of the equation. the similarity reductions are analyzed by considering the optimal system. furthermore, we find the power series solution of the equation with convergence analysis. based on a new conservation law, we construct the conservation laws of the equation by using the resulting symmetries Show More ... ... Show Less

  • Conservation Laws
  • Optimal System
  • Lie Symmetry Analysis
New Criteria On Global Asymptotic Synchronization Of Duffing-Type Oscillator System

in this paper, we are concerned with global asymptotic synchronization of duffing-type oscillator system. without using matrix measure theory, graph theory and lmi method, which are recently widely applied to investigating global exponential/asymptotic synchronization for dynamical systems and complex networks, four novel sufficient conditions on global asymptotic synchronization for above system are acquired on the basis of constant variation method, integral factor method and integral inequality skills Show More ... ... Show Less

  • Global Asymptotic Synchronization
  • Oscillator System
  • Graph Theory
  • New Criteria
Impacts Of Predator–Prey Interaction On Managing Maximum Sustainable Yield And Resilience

this paper gives a broad outline of some comparative analysis of two ecological services, namely, yield and resilience of a generalist predator–prey system. although either prey or predator species can be harvested at maximum sustainable yield (msy) level, yet there is a trade-off between yield and resilience. when both the species are harvested simultaneously, msy increase by changing catchabilities always increases the system resilience both in prey- and predator-oriented fishery. in particular, a prey-oriented fishery with low prey catchability gives more yield and resilience but in case of predator-oriented fishery with high predator catchability, gives more of these ecological services. thus to get both the optimum yield and resilience, a balanced harvesting approach is needed between the prey and predator trophic levels. throughout the analysis, we use both the analytical as well as numerical techniques Show More ... ... Show Less

  • Maximum Sustainable Yield
  • Ecological Services
  • Predator Prey
  • System Resilience
Dynamics Of Prey–Predator Model With Strong And Weak Allee Effect In The Prey With Gestation Delay

this study proposes two prey–predator models with strong and weak allee effects in prey population with crowley–martin functional response. further, gestation delay of the predator population is introduced in both the models. we discussed the boundedness, local stability and hopf-bifurcation of both nondelayed and delayed systems. the stability and direction of hopfbifurcation is also analyzed by using normal form theory and center manifold theory. it is shown that species in the model with strong allee effect become extinct beyond a threshold value of allee parameter at low density of prey population, whereas species never become extinct in weak allee effect if they are initially present. it is also shown that gestation delay is unable to avoiding the status of extinction. lastly, numerical simulation is conducted to verify the theoretical findings Show More ... ... Show Less

  • Gestation Delay
  • Prey Population
  • Numerical Simulation
  • Strong Allee Effect
Computational Exploration Of Casson Fluid Flow Over A Riga-Plate With Variable Chemical Reaction And Linear Stratification

simulation of electro-magneto-hydrodynamic casson fluid flow subject to cross stratification and variable chemical reaction is exemplified numerically. the model, which is governed by the system of partial differential equations, accomplishes the implicit finite difference solution. the variable chemical reaction enables the study to investigate an exponentially varying reaction rate along the stratified flow. further, the mesh-contour plots impart the precise visualization of flow field in 3d and its projection as contour on xy -plane. the stronger chemical reaction parameter improves the temperature and mass transfer rate. the consistency of the results is affirmed by the correlation with results arising in the literature Show More ... ... Show Less

  • Chemical Reaction
  • Variable Chemical
  • Fluid Flow
  • Casson Fluid
  • Implicit Finite Difference
Some Asymptotic Properties Of SEIRS Models With Nonlinear Incidence And Random Delays

this paper presents the dynamics of mosquitoes and humans with general nonlinear incidence rate and multiple distributed delays for the disease. the model is a seirs system of delay differential equations. the normalized dimensionless version is derived; analytical techniques are applied to find conditions for deterministic extinction and permanence of disease. the brn  r0* and  espr e(e–(μvt1+μt2)) are computed. conditions for deterministic extinction and permanence are expressed in terms of r0* and e(e–(μvt1+μt2)) and applied to a p. vivax malaria scenario. numerical results are given Show More ... ... Show Less

  • Nonlinear Incidence
  • Incidence Rate
  • Delay Differential Equations
  • Vivax Malaria
Existence Of The Solitary Wave Solutions Supported By The Modified Fitzhugh–Nagumo System

we study a system of nonlinear differential equations simulating transport phenomena in active media. the model we are interested in is a generalization of the celebrated fitzhugh–nagumo system describing the nerve impulse propagation in axon. the modeling system is shown to possesses soliton-like solutions under certain restrictions on the parameters. the results of theoretical studies are backed by the direct numerical simulation Show More ... ... Show Less

  • Solitary Wave
  • Direct Numerical Simulation
  • Wave Solutions
  • System Of Nonlinear Differential Equations
A Geometrical Criterion For Nonexistence Of Constant-Sign Solutions For Some Third-Order Two-Point Boundary Value Problems

we give a simple geometrical criterion for the nonexistence of constant-sign solutions for a certain type of third-order two-point boundary value problem in terms of the behavior of nonlinearity in the equation. we also provide examples to illustrate the applicability of our results Show More ... ... Show Less

  • Boundary Value
  • Point Boundary
  • Third Order
  • Constant Sign Solutions
Regularly Distributed Randomly Stopped Sum, Minimum, And Maximum

let {ξ1,ξ2,...} be a sequence of independent real-valued, possibly nonidentically distributed, random variables, and let η be a nonnegative, nondegenerate at 0, and integer-valued random variable, which is independent of {ξ1,ξ2,...}. we consider conditions for {ξ1,ξ2,...} and η under which the distributions of the randomly stopped minimum, maximum, and sum are regularly varying Show More ... ... Show Less

  • Random Variables
  • Regularly Varying
Square Root Of A Multivector In 3D Clifford Algebras

the problem of square root of multivector (mv) in real 3d (n = 3) clifford algebras cl3;0, cl2;1, cl1;2 and cl0;3 is considered. it is shown that the square root of general 3d mv can be extracted in radicals. also, the article presents basis-free roots of mv grades such as scalars, vectors, bivectors, pseudoscalars and their combinations, which may be useful in applied clifford algebras. it is shown that in mentioned clifford algebras, there appear isolated square roots and continuum of roots on hypersurfaces (infinitely many roots). possible numerical methods to extract square root from the mv are discussed too. as an illustration, the riccati equation formulated in terms of clifford algebra is solved Show More ... ... Show Less

  • Clifford Algebras
  • Square Root
  • Numerical Methods
  • Riccati Equation
Modeling The Dirichlet Distribution Using Multiplicative Functions

for q,m,n,d ∈ n and some multiplicative function f > 0, we denote by t3(n) the sum of f(d) over the ordered triples (q,m,d) with qmd = n. we prove that cesaro mean of distribution functions defined by means of t3 uniformly converges to the one-parameter dirichlet distribution function. the parameter of the limit distribution depends on the values of f on primes. the remainder term is estimated as well Show More ... ... Show Less

  • Dirichlet Distribution
  • Distribution Function
  • Limit Distribution
  • Multiplicative Function
  • Remainder Term
Finite-Time Passivity For Neutral-Type Neural Networks With Time-Varying Delays – Via Auxiliary Function-Based Integral Inequalities

in this paper, we investigated the problem of the finite-time boundedness and finitetime passivity for neural networks with time-varying delays. a triple, quadrable and five integral terms with the delay information are introduced in the new lyapunov–krasovskii functional (lkf). based on the auxiliary integral inequality, writinger integral inequality and jensen’s inequality, several sufficient conditions are derived. finally, numerical examples are provided to verify the effectiveness of the proposed criterion. there results are compared with the existing results Show More ... ... Show Less

  • Neural Networks
  • Integral Inequality
  • Finite Time
  • Time Varying
  • Numerical Examples
Synchronization Of Decentralized Event-Triggered Uncertain Switched Neural Networks With Two Additive Time-Varying Delays

this paper addresses the problem of synchronization for decentralized event-triggered uncertain switched neural networks with two additive time-varying delays. a decentralized eventtriggered scheme is employed to determine the time instants of communication from the sensors to the central controller based on narrow possible information only. in addition, a class of switched neural networks is analyzed based on the lyapunov–krasovskii functional method and a combined linear matrix inequality (lmi) technique and average dwell time approach. some sufficient conditions are derived to guarantee the exponential stability of neural networks under consideration in the presence of admissible parametric uncertainties. numerical examples are provided to illustrate the effectiveness of the obtained results Show More ... ... Show Less

  • Switched Neural Networks
  • Time Varying
  • Event Triggered
  • Lmi Technique
Finite-Time Control For Uncertain Systems And Application To Flight Control

in this paper, the finite-time control design problem for a class of nonlinear systems with matched and mismatched uncertainty is addressed. the finite-time control scheme is designed by integrating multi power reaching (mpr) law and finite-time disturbance observer (ftdo) into integral sliding mode control, where a novel sliding surface is designed, and the ftdo is applied to estimate the uncertainty. then the fixed-time reachability of the mpr law is analyzed, and the finite-time stability of the closed-loop system is proven in the framework of lyapunov stability theory. finally, numerical simulation and the application to the flight control of hypersonic vehicle (hsv) are provided to show the effectiveness of the designed controller Show More ... ... Show Less

  • Finite Time
  • Time Control
  • Flight Control
  • Numerical Simulation
  • Mismatched Uncertainty
Dynamic Output Nonfragile Reliable Control For Nonlinear Fractional-Order Glucose–Insulin System

the main intention of this paper is to scrutinize the problem of internal model-based dynamic output feedback nonfragile reliable control problem for fractional-order glucose–insulin system. specifically, a robust control law that represents the insulin injection rate is designed in order to regulate the level of glucose in diabetes treatment in the existence of meal disturbance or external glucose infusion due to improper diet. by the construction of suitable lyapunov functional, a novel set of sufficient conditions is derived with the aid of linear matrix inequalities for obtaining the required dynamic output feedback control law. in particular, the designed controller ensures the robust stability and disturbance attenuation performance against meal disturbance of the glucose–insulin system. numerical simulation results are performed to verify the advantage of the developed design technique. specifically, the irregular blood glucose level can be brought down to normal level by injecting suitable rate of insulin to the patient. the result exposes that the level of blood glucose is sustained in the identified ranges via the proposed dynamic output feedback control law Show More ... ... Show Less

  • Control Law
  • Dynamic Output Feedback
  • Blood Glucose
Some Krasnosel’Skii-Type Fixed Point Theorems For Meir–Keeler-Type Mappings

in this paper, inspired by the idea of meir–keeler contractive mappings, we introduce meir–keeler expansive mappings, say mke, in order to obtain krasnosel’skii-type fixed point theorems in banach spaces. the idea of the paper is to combine the notion of meir–keeler mapping and expansive krasnosel’skii fixed point theorem. we replace the expansion condition by the weakened mke condition in some variants of krasnosel’skii fixed point theorems that appear in the literature, e.g., in [t. xiang, r. yuan, a class of expansive-type krasnosel’skii fixed point theorems, nonlinear anal., theory methods appl., 71(7–8):3229–3239, 2009 Show More ... ... Show Less

  • Fixed Point Theorems
  • Banach Spaces
Lagrange Problem For Fractional Ordinary Elliptic System Via Dubovitskii–Milyutin Method

in the paper, we investigate a weak maximum principle for lagrange problem described by a fractional ordinary elliptic system with dirichlet boundary conditions. the dubovitskii–milyutin approach is used to find the necessary conditions. the fractional laplacian is understood in the sense of stone–von neumann operator calculus Show More ... ... Show Less

  • Elliptic System
  • Lagrange Problem
  • Maximum Principle
  • Boundary Conditions
  • Fractional Laplacian
Support Vector Machine Parameter Tuning Based On Particle Swarm Optimization Metaheuristic

this paper introduces a method for linear support vector machine parameter tuning based on particle swarm optimization metaheuristic, which is used to find the best cost (penalty) parameter for a linear support vector machine to increase textual data classification accuracy. additionally, majority voting based ensembling is applied to increase the efficiency of the proposed method. the results were compared with results from our previous research and other authors’ works. they indicate that the proposed method can improve classification performance for a sentiment recognition task Show More ... ... Show Less

  • Particle Swarm Optimization
  • Linear Support Vector Machine
  • Support Vector Machine Parameter
Bifurcation On Diffusive Holling–Tanner Predator–Prey Model With Stoichiometric Density Dependence

this paper studies a diffusive holling–tanner predator–prey system with stoichiometric density dependence. the local stability of positive equilibrium, the existence of hopf bifurcation and stability of bifurcating periodic solutions have been obtained in the absence of diffusion. we also study the spatially homogeneous and nonhomogeneous periodic solutions through all parameters of the system, which are spatially homogeneous. in order to verify our theoretical results, some numerical simulations are carried out Show More ... ... Show Less

  • Density Dependence
  • Periodic Solutions
  • Predator Prey
  • Spatially Homogeneous
  • Theoretical Results
Mathematical Analysis Of An Economic Growth Model With Perfect-Substitution Technologies

the purpose of this paper is to highlight certain features of a dynamic optimisation problem in an economic growth model with environmental negative externalities that gives rise to a two-dimensional dynamical system. in particular, it is demonstrated that the dynamics of the model, which is based on a production function with perfect substitutability (perfect substitution technologies), admits a locally attracting equilibrium with a basin of attraction that may be considerably large, as it can extend up to the boundary of the system phase plane. moreover, this model exhibits global indeterminacy because either equilibrium of the system can be selected according to agent expectation. formulas for the calculation of the bifurcation coefficients of the system are derived, and a result on the existence of limit cycles is obtained. a numerical example is given to illustrate the results Show More ... ... Show Less

  • Economic Growth Model
  • Perfect Substitution
  • System Phase
Stability Analysis Of Partial Differential Variational Inequalities In Banach Spaces

in this paper, we study a class of partial differential variational inequalities. a general stability result for the partial differential variational inequality is provided in the case the perturbed parameters are involved in both the nonlinear mapping and the set of constraints. the main tools are theory of semigroups, theory of monotone operators, and variational inequality techniques Show More ... ... Show Less

  • Partial Differential
  • Differential Variational Inequalities
  • Differential Variational Inequality
Destroying Synchrony In An Array Of The Fitzhugh–Nagumo Oscillators By External DC Voltage Source

a control method for desynchronizing an array of mean-field coupled fitzhugh–nagumo-type oscillators is described. the technique is based on applying an adjustable dc voltage source to the coupling node. both, numerical solution of corresponding nonlinear differential equations and hardware experiments with a nonlinear electrical circuit have been performed Show More ... ... Show Less

  • Voltage Source
  • Dc Voltage
  • Differential Equations
  • Numerical Solution
  • Control Method
A Sufficient And Necessary Condition Of Existence Of Blow-Up Radial Solutions For A K-Hessian Equation With A Nonlinear Operator

in this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-hessian equation with a nonlinear operator. under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions is established, a sufficient and necessary condition on existence of blow-up solutions is given, and some further results are obtained Show More ... ... Show Less

  • Blow Up
  • Nonlinear Operator
  • Radial Solutions
  • Sufficient And Necessary Condition
Global Exponential Synchronization Of Quaternion-Valued Memristive Neural Networks With Time Delays

this paper extends the memristive neural networks (mnns) to quaternion field, a new class of neural networks named quaternion-valued memristive neural networks (qvmnns) is then established, and the problem of drive-response global synchronization of this type of networks is investigated in this paper. two cases are taken into consideration: one is with the conventional differential inclusion assumption, the other without. criteria for the global synchronization of these two cases are achieved respectively by appropriately choosing the lyapunov functional and applying some inequality techniques. finally, corresponding simulation examples are presented to demonstrate the correctness of the proposed results derived in this paper Show More ... ... Show Less

  • Memristive Neural Networks
  • Global Synchronization
  • Global Exponential Synchronization
  • Inequality Techniques
Nonlinear Dynamics Of Full-Range Cnns With Time-Varying Delays And Variable Coefficients

in the article, the dynamical behaviours of the full-range cellular neural networks (frcnns) with variable coefficients and time-varying delays are considered. firstly, the improved model of the frcnns is proposed, and the existence and uniqueness of the solution are studied by means of differential inclusions and set-valued analysis. secondly, by using the hardy inequality, the matrix analysis, and the lyapunov functional method, we get some criteria for achieving the globally exponential stability (ges). finally, some examples are provided to verify the correctness of the theoretical results Show More ... ... Show Less

  • Full Range
  • Variable Coefficients
  • Time Varying
  • Theoretical Results
  • The Hardy Inequality
Dynamics Of A Diffusive Predator–Prey Model With Herd Behavior

this paper is devoted to considering a diffusive predator–prey model with leslie–gower term and herd behavior subject to the homogeneous neumann boundary conditions. concretely, by choosing the proper bifurcation parameter, the local stability of constant equilibria of this model without diffusion and the existence of hopf bifurcation are investigated by analyzing the distribution of the eigenvalues. furthermore, the explicit formula for determining the direction of hopf bifurcation and the stability of the bifurcating periodic solutions are also derived by applying the normal form theory. next, we show the stability of positive constant equilibrium, the existence and stability of periodic solutions near positive constant equilibrium for the diffusive model. finally, some numerical simulations are carried out to support the analytical results Show More ... ... Show Less

  • Hopf Bifurcation
  • Periodic Solutions
  • Positive Constant
  • Herd Behavior
  • Predator Prey Model
On Joint Approximation Of Analytic Functions By Nonlinear Shifts Of Zeta-Functions Of Certain Cusp Forms

in the paper, joint discrete universality theorems on the simultaneous approximation of a collection of analytic functions by a collection of discrete shifts of zeta-functions attached to normalized hecke-eigen cusp forms are obtained. these shifts are defined by means of nonlinear differentiable functions that satisfy certain growth conditions, and their combination on positive integers is uniformly distributed modulo 1 Show More ... ... Show Less

  • Analytic Functions
  • Zeta Functions
  • Cusp Forms
  • Simultaneous Approximation
  • Growth Conditions
Optimization Of The Total Production Time By Splitting Complex Manual Assembly Processes

in this article, the minimization of the learning content in the total processing time is studied. research is based on manual automotive wiring harness assembly, with unstable demand, fluctuating order quantities and enormous product variety. such instability in manual production environment results that assembly is always at the start-up or learning phase, thus, operational times are greater than standard and operational efficiency is significantly reduced. since a lot of research is done on learning time calculation, there is still lacking studies that address learning time reduction in such production situation. the methodology proposed in this article addresses reduction of learning time by splitting and simplifying complex assemblies of automotive wiring harnesses. experimental results from the company indicate that this approach enables to optimize learning time and increase operational efficiency Show More ... ... Show Less

  • Learning Time
  • Operational Efficiency
  • Processing Time
  • Product Variety
  • Harness Assembly
Influence Of Soret And Dufour Effects On Unsteady 3D MHD Slip Flow Of Carreau Nanofluid Over A Slendering Stretchable Sheet With Chemical Reaction

this paper presents a numerical exploration on the unsteady three-dimensional hydromagnetic flow of carreau nanofluid over a slendering stretchable sheet in the presence of thermal radiation and chemical reaction. furthermore, the effects of velocity slip, thermal slip, solutal slip, soret and dufour are taken into account. the prevailing time-dependent partial differential equations are metamorphosed into a system of coupled nonlinear ordinary differential equations by using the appropriate similarity transformations. the resultant nonlinear coupled differential equations are solved numerically by using the runge–kutta fourth-order method along with shooting scheme. the sway of sundry parameters on velocity, temperature, concentration, shear stress, temperature gradient and concentration gradient has been premeditated, and numerical results are presented graphically and in tabular form. comparison amid the previously published results, and the current numerical results are made for the limiting cases, which are found to be in a virtuous agreement Show More ... ... Show Less

  • Differential Equations
  • Chemical Reaction
  • Numerical Results
  • Carreau Nanofluid
  • Shear Stress
New Theorems On Extended B-Metric Spaces Under New Contractions

the notion of extended b-metric space plays an important role in the field of applied analysis to construct new theorems in the field of fixed point theory. in this paper, we construct and prove new theorems in the filed of fixed point theorems under some new contractions. our results extend and modify many existing results in the literature. also, we provide an example to show the validity of our results. moreover, we apply our result to solve the existence and uniqueness of such equations Show More ... ... Show Less

  • Metric Space
  • Existence And Uniqueness
  • Fixed Point Theorems
  • Fixed Point Theory
On Fractional Langevin Equation Involving Two Fractional Orders In Different Intervals

in this paper, we study a nonlinear langevin equation involving two fractional orders  α ∈ (0; 1] and β ∈ (1; 2] with initial conditions. by means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. some illustrative numerical examples are also discussed Show More ... ... Show Less

  • Langevin Equation
  • Fractional Orders
  • Fixed Point Theorem
Fixed Point Theorems For Weakly Beta-Admissible Pair Of F-Contractions With Application

in this paper, we introduce a new set fsb of nonlinear functions. we obtain unique common fixed point theorems for (β; f)-weak contractions under the effect of functions from fsb. moreover, we deduce new common fixed point results in ordered and graphic b-metric spaces. our work generalizes several recent results existing in the literature. we set up an example to elucidate main result. we apply the main theorem to show the existence of common solution of the system of elliptic boundary value problems Show More ... ... Show Less

  • Common Fixed Point Theorems
  • Unique Common Fixed Point
Mittag-Leffler Stability Analysis Of Fractional Discrete-Time Neural Networks Via Fixed Point Technique

a class of semilinear fractional difference equations is introduced in this paper. the fixed point theorem is adopted to find stability conditions for fractional difference equations. the complete solution space is constructed and the contraction mapping is established by use of new equivalent sum equations in form of a discrete mittag-leffler function of two parameters. as one of the application, finite-time stability is discussed and compared. attractivity of fractional difference equations is proved, and mittag-leffler stability conditions are provided. finally, the stability results are applied to fractional discrete-time neural networks with and without delay, which show the fixed point technique’s efficiency and convenience Show More ... ... Show Less

  • Fixed Point
  • Fractional Difference Equations
  • Neural Networks
Existence Theory For Nonlocal Boundary Value Problems Involving Mixed Fractional Derivatives

in this paper, we develop the existence theory for a new kind of nonlocal three-point boundary value problems for differential equations and inclusions involving both left caputo and right riemann–liouville fractional derivatives. the banach and krasnoselskii fixed point theorems and the leray–schauder nonlinear alternative are used to obtain the desired results for the singlevalued problem. the existence of solutions for the multivalued problem concerning the upper semicontinuous and lipschitz cases is proved by applying nonlinear alternative for kakutani maps and covitz and nadler fixed point theorem. examples illustrating the main results are also presented Show More ... ... Show Less

  • Fixed Point
  • Boundary Value Problems
  • Fractional Derivatives
  • Existence Theory
  • Nonlinear Alternative
Controllability Of Hilfer Fractional Noninstantaneous Impulsive Semilinear Differential Inclusions With Nonlocal Conditions

in this paper, we investigate the controllability of nonlocal hilfer-type fractional differential inclusions with noninstantaneous impulsive conditions in banach spaces Show More ... ... Show Less

  • Banach Spaces
  • Fractional Differential Inclusions
  • Impulsive Conditions
Cyclic (Noncyclic) Phi-Condensing Operator And Its Application To A System Of Differential Equations

we establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly convex banach spaces by using a measure of noncompactness. we also obtain a counterpart result for cyclic φ-condensing operators in banach spaces to guarantee the existence of best proximity points, and so, an extension of darbo’s fixed point theorem will be concluded. as an application of our results, we study the existence of a global optimal solution for a system of ordinary differential equations Show More ... ... Show Less

  • Differential Equations
  • Banach Spaces
  • Condensing Operators
  • Global Optimal
  • Best Proximity Pair
On Coincidence And Common Fixed Point Theorems Of Eight Self-Maps Satisfying An FM-Contraction Condition

in this paper, a new type of contraction for several self-mappings of a metric space, called fm-contraction, is introduced. this extends the one presented for a single map by wardowski [fixed points of a new type of contractive mappings in complete metric spaces, fixed point theory appl., 2012:94, 2012]. coincidence and common fixed point of eight self mappings satisfying fm-contraction conditions are established via common limit range property without exploiting the completeness of the space or the continuity of the involved maps. coincidence and common fixed point of eight self-maps satisfying fm-contraction conditions via the common property (e.a.) are also studied. our results generalize, extend and improve the analogous recent results in the literature, and some examples are presented to justify the validity of our main results Show More ... ... Show Less

  • New Type
  • Common Fixed Point Theorems
  • Common Limit Range Property
Multi-Objective Optimization And Decision Visualization Of Batch Stirred Tank Reactor Based On Spherical Catalyst Particles

this paper presents a bayesian approach rooted algorithm oriented to the properties of multi-objective optimization problems. the performance of the developed algorithm is compared with several other multi-objective optimization algorithms. the approach is applied to the multiobjective optimization of a batch stirred tank reactor based on spherical catalyst microreactors. the microbioreactors are computationally modeled by a two-compartment model based on reaction–diffusion equations containing a nonlinear term related to the michaelis–menten enzyme kinetics. a two-stage visualization procedure based on the multi-dimensional scaling is proposed and applied for the visualization of trade-off solutions and for the selection of favorable configurations of the bioreactor Show More ... ... Show Less

  • Multi Objective Optimization
  • Stirred Tank
  • Tank Reactor
  • Spherical Catalyst
Infinite Point And Riemann–Stieltjes Integral Conditions For An Integro-Differential Equation

in this paper, we study the existence of solutions for two nonlocal problems of integro-differential equation with nonlocal infinite-point and riemann–stieltjes integral boundary conditions. the continuous dependence of the solution will be studied. Show More ... ... Show Less

  • Stieltjes Integral
  • Integro Differential Equation
  • Infinite Point
  • Boundary Conditions