A Novel One Equilibrium Hyper-chaotic System and Its Bifurcation Analysis

2010 ◽  
Author(s):  
Wei Xue ◽  
Jingjing Mu ◽  
Hongyan Jia
Keyword(s):  
Chaotic System ◽  
Bifurcation Analysis

A HYPERCHAOTIC SYSTEM WITH A FOUR-WING ATTRACTOR

2009 ◽  
Vol 20 (02) ◽  
pp. 323-335 ◽  
Author(s):  
GUOSI HU ◽  
BO YU
Keyword(s):  
System Dynamics ◽  
Lyapunov Exponents ◽  
Computer Simulations ◽  
Chaotic System ◽  
Bifurcation Analysis ◽  
Topological Structure ◽  
Hyperchaotic System ◽  
Wide Range ◽  
New Chaotic System

Recently, there are many methods for constructing multi-wing/multi-scroll or hyperchaotic attractors; however, it has been noticed that the attractors with both multi-wing topological structure and hyperchaotic characteristic rarely exist. A new chaotic system, obtained by making the change on coordinate to the Hu chaotic system, can generate very complex attractors with four-wing topological structure and three positive Lyapunov exponents over a wide range of parameters. The influence of parameters varying to system dynamics is analyzed, computer simulations and bifurcation analysis is also verified in this paper.

scholarly journals The bifurcation analysis of a conjugate Chen chaotic system and the hyperchaos generation based on the system

2008 ◽  
Vol 57 (4) ◽  
pp. 2092
Author(s):  
Zhang Qing ◽  
Wang Jie-Zhi ◽  
Chen Zeng-Qiang ◽  
Yuan Zhu-Zhi
Keyword(s):  
Chaotic System ◽  
Bifurcation Analysis

Hopf bifurcation analysis and circuit implementation for a novel four-wing hyper-chaotic system

2013 ◽  
Vol 22 (8) ◽  
pp. 080504 ◽  
Author(s):  
Wei Xue ◽  
Guo-Yuan Qi ◽  
Jing-Jing Mu ◽  
Hong-Yan Jia ◽  
Yan-Ling Guo
Keyword(s):  
Hopf Bifurcation ◽  
Chaotic System ◽  
Bifurcation Analysis ◽  
Circuit Implementation

scholarly journals A New Double-Wing Chaotic System With Coexisting Attractors and Line Equilibrium: Bifurcation Analysis and Electronic Circuit Simulation

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 115454-115462 ◽  
Author(s):  
Aceng Sambas ◽  
Sundarapandian Vaidyanathan ◽  
Sen Zhang ◽  
Yicheng Zeng ◽  
Mohamad Afendee Mohamed ◽  
...  
Keyword(s):  
Chaotic System ◽  
Bifurcation Analysis ◽  
Electronic Circuit ◽  
Circuit Simulation ◽  
Coexisting Attractors ◽  
Electronic Circuit Simulation ◽  
Line Equilibrium

Local bifurcation analysis and topological horseshoe of a 4D hyper-chaotic system

2015 ◽  
Vol 83 (4) ◽  
pp. 2055-2066 ◽  
Author(s):  
Zhonglin Wang ◽  
Leilei Zhou ◽  
Zengqiang Chen ◽  
Jiezhi Wang
Keyword(s):  
Chaotic System ◽  
Bifurcation Analysis ◽  
Local Bifurcation ◽  
Topological Horseshoe ◽  
Local Bifurcation Analysis

A New Fourth-Order Memristive Chaotic System and Its Generation

2015 ◽  
Vol 25 (11) ◽  
pp. 1550151 ◽  
Author(s):  
Yuxia Li ◽  
Xia Huang ◽  
Yiwen Song ◽  
Jinuan Lin
Keyword(s):  
Phase Diagram ◽  
Lyapunov Exponent ◽  
Chaotic System ◽  
Fourth Order ◽  
Bifurcation Analysis ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Diagram Analysis

In this paper, a new fourth-order memristive chaotic system is constructed on the basis of Chua's circuit. Chaotic behaviors are verified through a series of dynamical analyses, including Lyapunov exponent analysis, bifurcation analysis, and phase diagram analysis. In addition, chaos attractors in the newly-proposed system are implemented by hardware circuits.

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