scholarly journals Application of triple compound combination anti-synchronization among parallel fractional snap systems & electronic circuit implementation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Emad E. Mahmoud ◽  
Pushali Trikha ◽  
Lone Seth Jahanzaib ◽  
M. Higazy ◽  
Monagi H. Alkinani
Keyword(s):  
Existence And Uniqueness ◽  
Electronic Circuit ◽  
Signal Flow Graph ◽  
External Disturbances ◽  
Flow Graph ◽  
Point Analysis ◽  
Uniqueness Of The Solution ◽  
Dynamical Properties ◽  
Electronic Circuit Implementation ◽  
Secure Transmission

AbstractIn this article we examine the dynamical properties of the fractional version of the snap system by means of chaotic attractor, existence, and uniqueness of the solution, symmetry, dissipativity, stagnation point analysis, Lyapunov dynamics, K.Y. dimension, bifurcation diagram, etc. Also, parallel systems to this system are synchronized in presence of uncertainties and external disturbances using triple compound combination anti-synchronization by two ways. Synchronization time is compared with some other works. Also the utilization of achieved synchronization is illustrated in secure transmission. By constructing the snap system’s signal flow graph and its real electronic circuit, some of its additional invariants are investigated.

A New Dynamic System Analysis

2013 ◽  
Vol 392 ◽  
pp. 222-226
Author(s):  
Bao Liang Mi ◽  
Guo Zeng Wu
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Dynamic System ◽  
Bifurcation Diagram ◽  
Chaotic System ◽  
System Analysis ◽  
Electronic Circuit ◽  
Circuit Implementation ◽  
Dynamical Properties ◽  
Electronic Circuit Implementation

A new four-dimensional chaotic system is presented in this paper. Some basic dynamical Properties of this chaotic system are investigated by means of Poincaré mapping, Lyapunov exponents and bifurcation diagram. The dynamical behaviours of this system are proved not only by performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit implementation.

Optimal control, signal flow graph, and system electronic circuit realization for nonlinear Anopheles mosquito model

2020 ◽  
Vol 31 (09) ◽  
pp. 2050130 ◽  
Author(s):  
K. A. Gepreel ◽  
M. Higazy ◽  
A. M. S. Mahdy
Keyword(s):  
Optimal Control ◽  
Mathematical Programming ◽  
Nonlinear Control ◽  
Electronic Circuit ◽  
Anopheles Mosquito ◽  
Signal Flow Graph ◽  
Circuit Realization ◽  
Flow Graph ◽  
Control Factors ◽  
Normal Measure

We study the estimated investigative answers for one of the popular models in biomathematics, in particular, the nonlinear Anopheles mosquito model numerically. The optimal control (OC) for nonlinear Anopheles mosquito model is examined. Important and adequate conditions to ensure the presence and singularity of the arrangements of the control issue are assumed. Two control factors are suggested to limit the normal measure of eggs laid per treated female every day. The signal stream chart and Simulink[Formula: see text]Matlab of this model are constructed. The framework is designed utilizing the MULTISIM simulation program. We utilize the homotopy disruption strategy (HPM) to examine the logical surmised answer for the nonlinear control issue. We utilize the mathematical programming bundles, for example, Maple, to emphasize while ascertaining the rough arrangement. Results are displayed graphically and introduced to delineate the conduct of obtained inexact arrangements.

scholarly journals Dynamics and Robust Control of a New Realizable Chaotic Nonlinear Model

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
M. Higazy ◽  
Emad E. Mahmoud ◽  
E. M. Khalil ◽  
S. Abdel-Khalek ◽  
S. M. Abo-Dahab ◽  
...  
Keyword(s):  
Genetic Algorithm ◽  
Graph Theory ◽  
Robust Control ◽  
Electronic Circuit ◽  
Signal Flow Graph ◽  
New Paradigm ◽  
Robust Controller ◽  
Flow Graph ◽  
System States ◽  
New System

We present a new viable nonlinear chaotic paradigm. This paradigm has four nonlinear terms. The essential features of the new paradigm have been investigated. Our new system is confirmed to have chaotic behaviors by calculating its Lyapunov exponents. The relations of the system states are displayed by a suggested new signal flow graph (SFG). The proposed SFG is discussed via some graph theory tools, and some of its hidden features are calculated. In addition, the system is realized via constructing its electronic circuit which helps in the real applications. Also, a robust controller for the system is designed with the aid of a genetic algorithm.

A New Chaotic System Family Dynamics Analysis and Circuit Implementation

2013 ◽  
Vol 392 ◽  
pp. 232-236
Author(s):  
Shu Min Duan ◽  
Guo Zeng Wu
Keyword(s):  
Chaotic System ◽  
Electronic Circuit ◽  
Physical Phenomenon ◽  
Three Dimensional ◽  
Dynamics Analysis ◽  
Circuit Implementation ◽  
Parallel Lines ◽  
New Chaotic System ◽  
Dynamical Properties ◽  
Electronic Circuit Implementation

A new three-dimensional chaotic system is presented in this paper. Some basic dynamical Properties of this chaotic system are investigated by means of Poincaré mapping, Lyapunov exponents and bifurcation diagram. The dynamical behaviours of this system are proved not only by performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit implementation. It is new physical phenomenon that the Poincaré mapping of this system is a group of parallel lines.

scholarly journals Dynamics, Control and Secure Transmission Electronic Circuit Implementation of a new 3D Chaotic System in Comparison with 50 Reported Systems

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Khaled Benkouider ◽  
Toufik Bouden ◽  
Aceng Sambas ◽  
Mohamad Afendee Mohamed ◽  
Ibrahim Mohammed Sulaiman ◽  
...  
Keyword(s):  
Chaotic System ◽  
Electronic Circuit ◽  
Circuit Implementation ◽  
Electronic Circuit Implementation ◽  
Secure Transmission

Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

2002 ◽  
Vol 7 (1) ◽  
pp. 93-104 ◽  
Author(s):  
Mifodijus Sapagovas
Keyword(s):  
Parabolic Equation ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Nonlocal Condition ◽  
Nonlocal Conditions ◽  
Numerical Algorithms ◽  
Uniqueness Of The Solution

Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of parabolic equation is related mainly to ”smallness” of functions, involved in nonlocal conditions. As a consequence the hypothesis has been made, stating the assumptions on functions in nonlocal conditions are related to numerical algorithms of solving parabolic equations, and not to the parabolic equation itself.

scholarly journals Correctness conditions for high-order differential equations with unbounded coefficients

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Kordan N. Ospanov
Keyword(s):  
Differential Equation ◽  
Hilbert Space ◽  
Existence And Uniqueness ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Order Linear Differential Equation ◽  
Unbounded Coefficients ◽  
Weighted Norms ◽  
Uniqueness Of The Solution ◽  
Linear Differential

AbstractWe give some sufficient conditions for the existence and uniqueness of the solution of a higher-order linear differential equation with unbounded coefficients in the Hilbert space. We obtain some estimates for the weighted norms of the solution and its derivatives. Using these estimates, we show the conditions for the compactness of some integral operators associated with the resolvent.

scholarly journals Solutions for impulsive fractional pantograph differential equation via generalized anti-periodic boundary condition

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Idris Ahmed ◽  
Poom Kumam ◽  
Jamilu Abubakar ◽  
Piyachat Borisut ◽  
Kanokwan Sitthithakerngkiet
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Fixed Point ◽  
Fractional Differential Equation ◽  
Existence And Uniqueness ◽  
Periodic Boundary Condition ◽  
Periodic Boundary ◽  
Fixed Point Theorems ◽  
Uniqueness Of The Solution ◽  
Fractional Differential

Abstract This study investigates the solutions of an impulsive fractional differential equation incorporated with a pantograph. This work extends and improves some results of the impulsive fractional differential equation. A differential equation of an impulsive fractional pantograph with a more general anti-periodic boundary condition is proposed. By employing the well-known fixed point theorems of Banach and Krasnoselskii, the existence and uniqueness of the solution of the proposed problem are established. Furthermore, two examples are presented to support our theoretical analysis.

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