scholarly journals Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy

2021 ◽  
Vol 26 (6) ◽  
pp. 993-1011
Author(s):  
Mei Liu ◽  
Jie Chen ◽  
Haijun Jiang ◽  
Zhiyong Yu ◽  
Cheng Hu ◽  
...  
Keyword(s):  
Numerical Simulations ◽  
Chaotic Systems ◽  
Adaptive Strategy ◽  
Auxiliary Function ◽  
Intermittent Control ◽  
Global Synchronization ◽  
Delayed Systems ◽  
Control Gain ◽  
Analysis Technique ◽  
Theoretical Results

In this paper the problem of synchronization for delayed chaotic systems is considered based on aperiodic intermittent control. First, delayed chaotic systems are proposed via aperiodic adaptive intermittent control. Next, to cut down the control gain, a new generalized intermittent control and its adaptive strategy is introduced. Then, by constructing a piecewise Lyapunov auxiliary function and making use of piecewise analysis technique, some effective and novel criteria are obtained to ensure the global synchronization of delayed chaotic systems by means of the designed control protocols. At the end, two examples with numerical simulations are provided to verify the effectiveness of the theoretical results proposed scheme.

Exponential synchronization in complex-variable network with distributed delays via intermittent control

2017 ◽  
Vol 28 (07) ◽  
pp. 1750089 ◽  
Author(s):  
Sulan He ◽  
Guisheng Yi ◽  
Zhaoyan Wu
Keyword(s):  
Complex Variable ◽  
Exponential Synchronization ◽  
Distributed Delays ◽  
Intermittent Control ◽  
Control Gain ◽  
Analysis Technique ◽  
Control Scheme ◽  
Lyapunov Function Method ◽  
And Control ◽  
Theoretical Results

In this paper, exponential synchronization in complex-variable network with distributed delays is investigated. By utilizing intermittent control scheme, some effective controllers are designed. Based on the Lyapunov function method and mathematical analysis technique, some synchronization criteria with respect to the system parameters, control gain and control rate are presented. From the criteria, for any given dynamical network, the needed values of control gains and rate can be easily estimated. Finally, two numerical simulations are performed to verify the derived theoretical results.

scholarly journals Combination Difference Synchronization between Identical Generalised Lotka-Volterra Chaotic Systems

2020 ◽  
Vol 12 (2) ◽  
pp. 183-188 ◽  
Author(s):  
P. Trikha ◽  
Nasreen ◽  
L. S. Jahanzaib
Keyword(s):  
Numerical Simulations ◽  
Chaotic Systems ◽  
Complete Agreement ◽  
Theoretical Results ◽  
Combination Difference

This manuscript investigates the combination difference synchronization between identical Generalised Lotka-Volterra Chaotic Systems. Numerical Simulations have been performed which are in complete agreement of theoretical results.

scholarly journals Compound Difference Anti-Synchronization between Hyper-Chaotic Systems of Fractional Order

2020 ◽  
Vol 12 (2) ◽  
pp. 175-181 ◽  
Author(s):  
A. Khan ◽  
L. S. Jahanzaib ◽  
Nasreen ◽  
P. Trikha ◽  
T. Khan
Keyword(s):  
Numerical Simulations ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Theoretical Results

In this article, the compound difference anti-synchronization between fractional order hyper-chaotic systems have been studied. Numerical simulations have been performed using MATLAB to verify the theoretical results on fractional order Xling, Vanderpol, Rikitake and Rabinovich hyper-chaotic systems.

scholarly journals Adaptive - Synchronization of Fractional-Order Chaotic Systems with Nonidentical Structures

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Li-xin Yang ◽  
Wan-sheng He
Keyword(s):  
Adaptive Control ◽  
Numerical Simulations ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Control Technique ◽  
Adaptive Synchronization ◽  
Fractional Order Systems ◽  
The Stability ◽  
Different Chaotic Systems ◽  
Theoretical Results

This paper investigates the adaptive - synchronization of the fractional-order chaotic systems with nonidentical structures. Based on the stability of fractional-order systems and adaptive control technique, a general formula for designing the controller and parameters update law is proposed to achieve adaptive - synchronization between two different chaotic systems with different structures. The effective scheme parameters identification and - synchronization of chaotic systems can be realized simultaneously. Furthermore, two typical illustrative numerical simulations are given to demonstrate the effectiveness of the proposed scheme, for each case, we design the controller and parameter update laws in detail. The numerical simulations are performed to verify the effectiveness of the theoretical results.

A TYPE OF SINGLE SCROLL ATTRACTOR CHAOS SYNCHRONIZATION

2010 ◽  
Vol 24 (27) ◽  
pp. 5269-5283
Author(s):  
TIANSHU WANG ◽  
XINGYUAN WANG
Keyword(s):  
Numerical Simulations ◽  
Active Control ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Control Function ◽  
Function Parameter ◽  
Nonlinear Feedback ◽  
Global Synchronization ◽  
Linear And Nonlinear ◽  
Different Chaotic Systems

This paper studies a type of single scroll attractor chaos system. Based on the research of Jiang et al. the global synchronization method is designed, and moreover, the author uses a combined synchronization of linear and nonlinear feedback, active control, single vector and unidirectional coupling synchronization three methods else, the problem of synchronization between same and different chaotic systems are realized by the four methods, respectively. The range of control function parameter is discussed according to the Routh–Hurwitz criterion and numerical simulations show the effectiveness of them.

Synchronization and Anti-Synchronization of the Chaotic Modified Chua's Circuits via a Same Controller

2012 ◽  
Vol 605-607 ◽  
pp. 1972-1975
Author(s):  
Jian Cai Leng ◽  
Rong Wei Guo
Keyword(s):  
Numerical Simulations ◽  
Lyapunov Stability ◽  
Stability Theorem ◽  
Lyapunov Stability Theorem ◽  
Global Synchronization ◽  
Single Input ◽  
Theoretical Results

Based on the Lyapunov stability theorem, a same controller in the form is designed to achieve the global synchronization and anti-synchronization of the chaotic modified Chua's circuits. The controller obtained in this paper is simpler than those obtained in the existing results, and it is a linear single input controller. Numerical simulations verify the correctness and the effectiveness of the proposed theoretical results

ANALYTICAL CONDITIONS FOR AMPLITUDE DEATH INDUCED BY CONJUGATE VARIABLE COUPLINGS

2011 ◽  
Vol 21 (01) ◽  
pp. 225-235 ◽  
Author(s):  
XIAOMING ZHANG ◽  
YINGCHUN WU ◽  
JIANHUA PENG
Keyword(s):  
Numerical Simulations ◽  
Chaotic System ◽  
Arbitrary Number ◽  
Chaotic Systems ◽  
Amplitude Death ◽  
Chaotic Oscillators ◽  
Conjugate Variable ◽  
Global Coupling ◽  
Theoretical Results

We construct local and global conjugate variable coupled chaotic systems with an arbitrary number of identical chaotic oscillators. Amplitude death phenomena are found in these two kinds of systems. General methods are proposed to theoretically analyze conditions for amplitude death under local and global conditions, respectively. Taking the Rössler chaotic system as the oscillator unit, we apply these methods to determine the analytical conditions for amplitude death. And the transition relations between local and global coupling induced amplitude deaths are also given. All theoretical results are well confirmed by numerical simulations.

Synchronization of Multi-Chaotic Systems with Ring and Chain Intermittent Connections

2012 ◽  
Vol 241-244 ◽  
pp. 1081-1087 ◽  
Author(s):  
Qun Li Zhang
Keyword(s):  
Numerical Simulations ◽  
Large Class ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Design Procedure ◽  
Intermittent Control ◽  
Coupling Coefficients ◽  
Nonlinear Measure

Based on the intermittent control and the nonlinear measure about l 2-norm, a novel and effective approach to synchronization of multi-chaotic systems with ring and chain connections is investigated. The proposed approach offers a design procedure for multi-chaos synchronization of a large class of chaotic systems. Numerical simulations of multi-chaotic Lorenz systems are given to illustrate the main results by choosing appropriate coupling coefficients by using the intermittent controllers.

Active Control for Multi-Switching Combination Synchronization of Non-Identical Chaotic Systems

2018 ◽  
pp. 129-162 ◽  
Author(s):  
Shikha Singh ◽  
Ahmad Taher Azar ◽  
Muzaffar Ahmad Bhat ◽  
Sundarapandian Vaidyanathan ◽  
Adel Ouannas
Keyword(s):  
Information Security ◽  
Numerical Simulations ◽  
Active Control ◽  
Chaotic Systems ◽  
Control Technique ◽  
Slave System ◽  
Combination Synchronization ◽  
Wide Range ◽  
Synchronization Scheme ◽  
Theoretical Results

This chapter investigates the multi-switching combination synchronization of three non-identical chaotic systems via active control technique. In recent years, some advances have been made with the idea of multi-switching combination synchronization. The different states of the master systems are synchronized with the desired state of the slave system in multi-switching combination synchronization scheme. The relevance of such kinds of synchronization studies to information security is evident in the wide range of possible synchronization directions that exist due to multi-switching synchronization. Numerical simulations justify the validity of the theoretical results discussed.

scholarly journals Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Zhi Liu ◽  
Rongwei Guo ◽  
Yi Qi ◽  
Cuimei Jiang
Keyword(s):  
Numerical Simulations ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Synchronization Phenomenon ◽  
All Solutions ◽  
Necessary And Sufficient ◽  
Theoretical Results

In this paper, a new synchronization phenomenon, that is, the simultaneity of synchronization and antisynchronization, is investigated for a class of chaotic systems. First, for a given chaotic system, necessary and sufficient conditions for the simultaneity of synchronization and antisynchronization are proved. Then, based on these conditions, all solutions of such synchronization phenomenon for a given chaotic system are derived. After that, physical controllers that are not only simple but also implementable are designed to realize the simultaneity of synchronization and antisynchronization in the above system. Finally, illustrative examples based on numerical simulations are used to verify the validity and effectiveness of the above theoretical results.

Sign in / Sign up

Export Citation Format

Share Document