scholarly journals Colpitts Chaotic Oscillator Coupling with a Generalized Memristor

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Ling Lu ◽  
Changdi Li ◽  
Zicheng Zhao ◽  
Bocheng Bao ◽  
Quan Xu
Keyword(s):  
Mathematical Model ◽  
Equilibrium Point ◽  
Fourth Order ◽  
Chaotic Attractors ◽  
Chaotic Oscillator ◽  
Nonlinear Phenomena ◽  
Unique Equilibrium ◽  
First Order ◽  
The Mathematical Model ◽  
Order Parallel

By introducing a generalized memristor into a fourth-order Colpitts chaotic oscillator, a new memristive Colpitts chaotic oscillator is proposed in this paper. The generalized memristor is equivalent to a diode bridge cascaded with a first-order parallel RC filter. Chaotic attractors of the oscillator are numerically revealed from the mathematical model and experimentally captured from the physical circuit. The dynamics of the memristive Colpitts chaotic oscillator is investigated both theoretically and numerically, from which it can be found that the oscillator has a unique equilibrium point and displays complex nonlinear phenomena.

Generalized Memristor Consisting of Diode Bridge with First Order Parallel RC Filter

2014 ◽  
Vol 24 (11) ◽  
pp. 1450143 ◽  
Author(s):  
Bocheng Bao ◽  
Jingjing Yu ◽  
Fengwei Hu ◽  
Zhong Liu
Keyword(s):  
Mathematical Model ◽  
Hysteresis Loops ◽  
Experimental Measurements ◽  
First Order ◽  
The Mathematical Model ◽  
Pinched Hysteresis ◽  
Order Parallel

A generalized memristor consisting of a memristive diode bridge with a first order parallel RC filter is proposed in this letter. The mathematical model of the circuit is established and its fingerprints are analyzed by the pinched hysteresis loops with different periodic stimuli. The results verified by experimental measurements indicate that the proposed circuit is a simple voltage-controlled generalized memristor.

Mathematical Models of Papermaking

2001 ◽  
Vol 6 (1) ◽  
pp. 9-19 ◽  
Author(s):  
A. Buikis ◽  
J. Cepitis ◽  
H. Kalis ◽  
A. Reinfelds ◽  
A. Ancitis ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Initial Value Problems ◽  
Moisture Transfer ◽  
Bound Water ◽  
Drying Process ◽  
Initial Value ◽  
First Order ◽  
Heat And Moisture ◽  
The Mathematical Model ◽  
The Web

The mathematical model of wood drying based on detailed transport phenomena considering both heat and moisture transfer have been offered in article. The adjustment of this model to the drying process of papermaking is carried out for the range of moisture content corresponding to the period of drying in which vapour movement and bound water diffusion in the web are possible. By averaging as the desired models are obtained sequence of the initial value problems for systems of two nonlinear first order ordinary differential equations. 

MATHEMATICAL ANALYSIS OF THE ENDEMIC EQUILIBRIUM OF MALARIAHYGIENE MODEL

2021 ◽  
Vol 5 (10) ◽  
Author(s):  
Oluwafemi Temidayo J. ◽  
Azuaba E. ◽  
Lasisi N. O.
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Equilibrium Point ◽  
Reproduction Number ◽  
Endemic Equilibrium ◽  
The Mathematical Model ◽  
Globally Stable ◽  
Well Posed ◽  
The Basic Reproduction Number ◽  
Invariant Principle

In this study, we analyzed the endemic equilibrium point of a malaria-hygiene mathematical model. We prove that the mathematical model is biological and meaningfully well-posed. We also compute the basic reproduction number using the next generation method. Stability analysis of the endemic equilibrium point show that the point is locally stable if reproduction number is greater that unity and globally stable by the Lasalle’s invariant principle. Numerical simulation to show the dynamics of the compartment at various hygiene rate was carried out.

The Second Order Optimum Synthesis of a Compound Mechanism With Flexible Member

1992 ◽  
Author(s):  
Caifang Meng ◽  
Zuo Dai ◽  
Jianzhong Cha
Keyword(s):  
Mathematical Model ◽  
Second Order ◽  
Software Environment ◽  
Intelligent Optimization ◽  
Optimization Software ◽  
First Order ◽  
Optimum Synthesis ◽  
Angular Velocities ◽  
The Mathematical Model ◽  
Flexible Member

Abstract An optimum synthesis of a compound mechanism with flexible member (CMFM) is reported in this paper. First, the concepts of the first order optimum synthesis (FOOS) and the second order optimum synthesis (SOOS) are given. Then, the SOOS for the CMFM in a complete period and a half of period are carried out based on the mathematical model established for the SOOS of the CMFM. The results of the SOOS are obtained through the IIO software, an integrated intelligent optimization software environment, and the differences between specified and generated angular velocities are analyzed.

Dynamics of a Rolling Wheelset

1993 ◽  
Vol 46 (7) ◽  
pp. 438-444 ◽  
Author(s):  
Hans True
Keyword(s):  
Mathematical Model ◽  
Equilibrium Point ◽  
Chaotic Motion ◽  
Dynamical Behavior ◽  
Railway Track ◽  
Kinematics And Dynamics ◽  
Bifurcation Diagrams ◽  
Speed Range ◽  
Set Up ◽  
The Mathematical Model

We discuss the kinematics and dynamics of a wheelset rolling on a railway track. The mathematical model of a suspended wheelset rolling with constant speed on a straight track is set up and its dynamics is investigated numerically. The results are presented mainly on bifurcation diagrams. Several kinds of dynamical behavior is identified within the investigated speed range. We find a stationary equilibrium point at low speeds and at higher speeds symmetric and asymmetric oscillations are found and ranges with chaotic motion are identified. The bifurcations are described.

A SYMMETRIC PIECEWISE-LINEAR CHAOTIC SYSTEM WITH A SINGLE EQUILIBRIUM POINT

2005 ◽  
Vol 15 (04) ◽  
pp. 1411-1415 ◽  
Author(s):  
RAFAEL GONZÁLEZ LÓPEZ ◽  
MANUEL PRIAN RODRÍGUEZ ◽  
MIGUEL A. FERNÁNDEZ GRANERO ◽  
JUAN L. ROJAS OJEDA ◽  
EDUARDO ROMERO BRUZÓN
Keyword(s):  
Mathematical Model ◽  
Phase Space ◽  
Equilibrium Point ◽  
Chaotic System ◽  
Operational Amplifier ◽  
Chaotic Behavior ◽  
Piecewise Linear ◽  
The Mathematical Model ◽  
Electronic Oscillator

In this paper, we propose a new autonomous electronic oscillator designed with some modifications of the well-known Wien bridge oscillator. In the mathematical model planned for such a circuit, the nonlinearity in the operational amplifier saturation is considered and reference is made to the only equilibrium point at the origin of phase-space. We show how the relation between the bifurcation parameters starts stable oscillations, providing an example for chaotic behavior and bifurcations diagrams. Finally, we conclude with a brief summary of the oscillators operation using a parameters plane.

BIFURCATION AND CHAOS IN COUPLED BVP OSCILLATORS

2004 ◽  
Vol 14 (04) ◽  
pp. 1305-1324 ◽  
Author(s):  
TETSUSHI UETA ◽  
HISAYO MIYAZAKI ◽  
TAKUJI KOUSAKA ◽  
HIROSHI KAWAKAMI
Keyword(s):  
Autonomous System ◽  
Period Doubling ◽  
Chaotic Attractors ◽  
Nonlinear Phenomena ◽  
Van Der Pol ◽  
Bifurcation And Chaos ◽  
Experimental Laboratory ◽  
Chaotic Parameter ◽  
Parameter Values ◽  
The Mathematical Model

Bonhöffer–van der Pol(BVP) oscillator is a classic model exhibiting typical nonlinear phenomena in the planar autonomous system. This paper gives an analysis of equilibria, periodic solutions, strange attractors of two BVP oscillators coupled by a resister. When an oscillator is fixed its parameter values in nonoscillatory region and the others in oscillatory region, create the double scroll attractor due to the coupling. Bifurcation diagrams are obtained numerically from the mathematical model and chaotic parameter regions are clarified. We also confirm the existence of period-doubling cascades and chaotic attractors in the experimental laboratory.

Control of the stirred flow reactor in unstable state control through step changes in the volume of the reaction mixture

1979 ◽  
Vol 44 (1) ◽  
pp. 34-49
Author(s):  
Josef Horák ◽  
František Jiráček ◽  
Zina Sojková
Keyword(s):  
Mathematical Model ◽  
Theoretical Study ◽  
Flow Reactor ◽  
Unstable State ◽  
Theoretical Studies ◽  
State Control ◽  
Ferric Ions ◽  
First Order ◽  
The Mathematical Model ◽  
Oxidation By Hydrogen Peroxide

Possibilities of the control of an adiabatic stirred flow reactor with an exothermic first order reaction in unstable state are studied. The control is studied both on the linearized mathematical model and on the model reaction of oxidation by hydrogen peroxide catalyzed by ferric ions. The control is based on step changes in the volume of the reaction mixture at constant conditions at the reactor inlet. The aim is stabilization of the outlet degree of conversion of the reactant. From the theoretical study on the mathematical model resulted that control of the reactor by step changes of the volume can be a very simple and effective method of control in the unstable steady state. The results of theoretical studies have been verified experimentally.

scholarly journals Quantification of the force systems delivered by transpalatal arches activated in the six Burstone geometries

2016 ◽  
Vol 87 (4) ◽  
pp. 542-548 ◽  
Author(s):  
Maurício Tatsuei Sakima ◽  
Michel Dalstra ◽  
Angelo Vicentini Loiola ◽  
Gustavo Hauber Gameiro
Keyword(s):  
Mathematical Model ◽  
System Identification ◽  
Mechanical Force ◽  
Testing System ◽  
Force System ◽  
First Order ◽  
Great Consistency ◽  
Force Systems ◽  
Measuring Machine ◽  
The Mathematical Model

ABSTRACT Objective: To evaluate the force systems produced by transpalatal arches (TPAs) activated according to the six classes of geometries described by Burstone and Koenig. Materials and Methods: Sixty appliances were tested for first-order activations using a mechanical force testing system. The TPAs were first checked for passivity in sagittal, transverse, and vertical planes at the measuring machine. Then 10 appliances per group were activated using a millimeter template to obtain the six classes of geometries, and the activated appliances were inserted into lingual tubes of the Force System Identification machine that recorded the deactivation forces and moments delivered by both terminal ends of the TPAs. Results: The overall force system with the actual values of forces and moments recorded by each type of activation was illustrated and compared with the mathematical model reported by Burstone and Koenig. Although a great consistency of the direction of forces and moments were observed, the theoretically feasible force systems could not be fully accomplished by the TPA activated for the six classes of geometries. Conclusion: The first-order activations of the TPA can deliver predictable force systems in respect to the direction of forces and moments attainable, but some unexpected forces and moments are also produced. Careful clinical monitoring is, therefore, strongly recommended when using this statically indeterminate system.

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