Hybrid Projective Synchronization of a New Hyperchaotic System

2010 ◽  
Vol 42 ◽  
pp. 63-67
Author(s):  
Jie Fang ◽  
Xiao Ming Zhang ◽  
Chang Sheng Jiang
Keyword(s):  
Numerical Simulation ◽  
Chaos Synchronization ◽  
Projective Synchronization ◽  
Practical Significance ◽  
Hyperchaotic System ◽  
Complete Synchronization ◽  
Full State ◽  
Hybrid Projective Synchronization ◽  
The Stability ◽  
New Hyperchaotic System

The full state hybrid projective synchronization, which includes complete synchronization, anti-synchronization and projective synchronization as its special item, is a novel type of chaos synchronization, so the research in this area has high practical significance. This paper is involved with full state hybrid projective synchronization of a new hyperchaotic system. Based on the stability criterion of linear system, full state hybrid projective synchronization is achieved by appropriate linear separation. Numerical simulation is presented to demonstrate the effectiveness of the proposed method.

Chaos Synchronization of the Modified Sprott E System

2013 ◽  
Vol 798-799 ◽  
pp. 672-675
Author(s):  
Xiao Ya Yang
Keyword(s):  
Numerical Simulation ◽  
Chaos Synchronization ◽  
Dynamical Behavior ◽  
Global Bifurcation ◽  
Projective Synchronization ◽  
Chaotic Attractors ◽  
Full State ◽  
Hybrid Projective Synchronization

In this paper, chaos synchronization of the modified Sprott E system is investigated. Firstly, the chaotic attractors on different phase planes of the system are got by means of numerical simulation. When , the abundance dynamical behavior of the system is presented by the global bifurcation graph. Then, the chaos synchronization of the system by the full state hybrid projective synchronization (FSHPS) method is realized.

scholarly journals Chaos synchronization in fractional differential systems

2013 ◽  
Vol 371 (1990) ◽  
pp. 20120155 ◽  
Author(s):  
Fengrong Zhang ◽  
Guanrong Chen ◽  
Changpin Li ◽  
Jürgen Kurths
Keyword(s):  
Chaos Synchronization ◽  
Projective Synchronization ◽  
Generalized Synchronization ◽  
Complete Synchronization ◽  
Differential Systems ◽  
Function Projective Synchronization ◽  
Fractional Differential Systems ◽  
Recent Developments ◽  
Fractional Differential ◽  
Hybrid Projective Synchronization

This paper presents a brief overview of recent developments in chaos synchronization in coupled fractional differential systems, where the original viewpoints are retained. In addition to complete synchronization, several other extended concepts of synchronization, such as projective synchronization, hybrid projective synchronization, function projective synchronization, generalized synchronization and generalized projective synchronization in fractional differential systems, are reviewed.

Hybrid Projective Synchronization of Different Fractional Order Hyperchaotic Systems

2014 ◽  
Vol 926-930 ◽  
pp. 3046-3049
Author(s):  
Jin Ping Jia ◽  
Fan Di Zhang
Keyword(s):  
Numerical Simulation ◽  
Active Control ◽  
Fractional Order ◽  
Stability Theory ◽  
Projective Synchronization ◽  
Order System ◽  
Simulation Results ◽  
Hybrid Projective Synchronization ◽  
The Stability ◽  
Hyperchaotic Systems

This paper investigated hybrid projective synchronization of fractional order hyperchaotic systems with different orders. Based on the idea of active control and the stability theory of linear fractional-order system, we design the effective controller to realize the hybrid projective synchronization. Numerical simulation results which are carried show that the method is easy to implement and reliable for synchronizing the two nonlinear fractional order hyperchaotic systems while it also allows both the systems to remain in hyperchaotic states.

scholarly journals Dynamics of a New Hyperchaotic System with Only One Equilibrium Point

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Xiang Li ◽  
Ranchao Wu
Keyword(s):  
Hopf Bifurcation ◽  
Hyperchaotic System ◽  
Compound Structure ◽  
Normal Form Theory ◽  
Controlled System ◽  
Forming Mechanism ◽  
Form Theory ◽  
The Lorenz System ◽  
The Stability ◽  
New Hyperchaotic System

A new 4D hyperchaotic system is constructed based on the Lorenz system. The compound structure and forming mechanism of the new hyperchaotic attractor are studied via a controlled system with constant controllers. Furthermore, it is found that the Hopf bifurcation occurs in this hyperchaotic system when the bifurcation parameter exceeds a critical value. The direction of the Hopf bifurcation as well as the stability of bifurcating periodic solutions is presented in detail by virtue of the normal form theory. Numerical simulations are given to illustrate and verify the results.

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