A New Multi-Scroll Chaotic Attractors Synchronization Technique

2012 ◽  
Vol 220-223 ◽  
pp. 1226-1229 ◽  
Author(s):  
Dan Li ◽  
Lu Wang
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Chaotic Attractors ◽  
Dimensional System

Multi-scroll chaotic attractors synchronization technique is a research focuses in recent years. This paper focuses on multi-scroll chaotic attractors in the four-dimensional system. It uses variable feedback synchronous method and active-passive synchronous method to achieve the two 6-scroll chaotic attractors’ synchronization. The feasibility of this method is proved by theoretical analysis and numerical simulation. Simultaneously, it gets a better synchronization results.

Achieving the Multi-Scroll Chaotic Attractors’ Synchronization in the Four-Dimensional System by Driving-Response Synchronization Method

2014 ◽  
Vol 635-637 ◽  
pp. 1076-1080
Author(s):  
Dan Li ◽  
Meng Jin ◽  
Zhen Fan ◽  
Xian Da Dong
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Chaotic Attractors ◽  
Dimensional System ◽  
Important Research ◽  
Synchronization Method

Multi-scroll chaotic attractors’ synchronization technology is one of the important research achievements in recent years.This paper uses driving-response synchronization method to achieve the two 6-scroll chaotic attractors’ synchronization in the four-dimensional syetem.The feasibility of this method is proved by theoretical analysis and numerical simulation.

Research on Multi-Scroll Chaotic Attractors Synchronization Technique

2014 ◽  
Vol 635-637 ◽  
pp. 1132-1135 ◽  
Author(s):  
Dan Li ◽  
Wei Hua Chen ◽  
Yang Wang ◽  
De Li Cui
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Chaotic Attractors ◽  
Dimensional System

Multi-scroll chaotic attractors synchronization technique is a research focuses in recent years. This paper focuses on multi-scroll chaotic attractors in the four-dimensional system. It uses variable feedback synchronous method to achieve the two 4-scroll chaotic attractors’ synchronization. The feasibility of this method is proved by theoretical analysis and numerical simulation. Simultaneously, it gets a better synchronization results.

scholarly journals Controlling Hyper Chaos with Feedback of Dynamical Variables

2003 ◽  
Vol 17 (22n24) ◽  
pp. 4272-4277 ◽  
Author(s):  
Xiao-Shu Luo ◽  
Bing-Hong Wang
Keyword(s):  
Numerical Simulation ◽  
Hopf Bifurcation ◽  
Theoretical Analysis ◽  
Chaotic Attractors ◽  
Chaotic Circuit ◽  
Controlled System ◽  
Controlling Chaos ◽  
Simulation Results ◽  
System Variables ◽  
Proportional Feedback

We propose a method for controlling chaos and hyper-chaos by applying continuous proportional feedback to the system variables and their derivatives. The method has been applied successfully in six-order coupled Chua's hyper-chaotic circuit system. The theoretical analysis and numerical simulation results show that unstable fixed points embedded in hyper-chaotic attractors can be stabilized and Hopf bifurcation can be observed for the controlled system.

Design of Grid Multiscroll Chaotic Attractors via Transformations

2015 ◽  
Vol 25 (10) ◽  
pp. 1530027 ◽  
Author(s):  
Xingxing Ai ◽  
Kehui Sun ◽  
Shaobo He ◽  
Huihai Wang
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Exponent ◽  
Theoretical Analysis ◽  
Experimental Verification ◽  
Equilibrium Points ◽  
Experimental Results ◽  
Chaotic Attractors ◽  
Largest Lyapunov Exponent ◽  
One Dimensional ◽  
Circular Grid

Three transformation approaches for generating grid multiscroll chaotic attractors are presented through theoretical analysis and numerical simulation. Three kinds of grid multiscroll chaotic attractors are generated based on one-dimensional multiscroll Chua system. The dynamics of the multiscroll chaotic attractors are analyzed by means of equilibrium points, eigenvalues, the largest Lyapunov exponent and complexity. As the experimental verification, we implemented the circular grid multiscroll attractor on DSP platform. The simulation and experimental results are consistent well with that of theoretical analysis, and it shows that the design approaches are effective.

scholarly journals Controlling Chaotic Systems via Time-delayed Control

2021 ◽  
Vol 15 ◽  
pp. 44-49
Author(s):  
Ramy Farid ◽  
Abdul-Azim Ibrahim ◽  
Belal Abou-Zalam
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Chaotic Systems ◽  
Equilibrium Points ◽  
Unstable Equilibrium ◽  
Chaotic Attractors ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Integral Time ◽  
Lyapunov Stabilization

Based on Lyapunov stabilization theory, this paper proposes a proportional plus integral time-delayed controller to stabilize unstable equilibrium points (UPOs) embedded in chaotic attractors. The criterion is successfully applied to the classic Chua's circuit. Theoretical analysis and numerical simulation show the effectiveness of this controller.

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