Full state hybrid projective synchronization in fractional Chen-Lee hyperchaotic system

2010 ◽  
Author(s):  
Hongwei Song ◽  
Xiaoran Lin ◽  
Hao Yang ◽  
Ran Zhen ◽  
Yi Chi ◽  
...  
Keyword(s):  
Projective Synchronization ◽  
Hyperchaotic System ◽  
Full State ◽  
Hybrid Projective Synchronization

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 On Full-State Hybrid Projective Synchronization of General Discrete Chaotic Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Adel Ouannas
Keyword(s):  
Lyapunov Stability ◽  
Discrete Time ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Full State ◽  
Hybrid Projective Synchronization ◽  
Nonlinear Control Method

The problems of full-state hybrid projective synchronization (FSHPS) and inverse full-state hybrid projective synchronization (IFSHPS) for general discrete chaotic systems are investigated in 2D. Based on nonlinear control method and Lyapunov stability theory, new controllers are designed to study FSHPS and IFSHPS, respectively, for 2D arbitrary chaotic systems in discrete-time. Numerical example and simulations are used to validate the main results of this paper.

Full state hybrid projective synchronization in hyperchaotic systems

2009 ◽  
Vol 42 (3) ◽  
pp. 1502-1510 ◽  
Author(s):  
Yan-Dong Chu ◽  
Ying-Xiang Chang ◽  
Jian-Gang Zhang ◽  
Xian-Feng Li ◽  
Xin-Lei An
Keyword(s):  
Projective Synchronization ◽  
Full State ◽  
Hybrid Projective Synchronization ◽  
Hyperchaotic Systems

scholarly journals The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders

Entropy ◽  
2018 ◽  
Vol 20 (9) ◽  
pp. 710 ◽  
Author(s):  
Samir Bendoukha ◽  
Adel Ouannas ◽  
Xiong Wang ◽  
Amina-Aicha Khennaoui ◽  
Viet-Thanh Pham ◽  
...  
Keyword(s):  
Nonlinear Control ◽  
Fractional Order ◽  
Discrete Time ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Generalized Synchronization ◽  
Control Scheme ◽  
Full State ◽  
Hybrid Projective Synchronization ◽  
Inverse Generalized Synchronization

This paper is concerned with the co-existence of different synchronization types for fractional-order discrete-time chaotic systems with different dimensions. In particular, we show that through appropriate nonlinear control, projective synchronization (PS), full state hybrid projective synchronization (FSHPS), and generalized synchronization (GS) can be achieved simultaneously. A second nonlinear control scheme is developed whereby inverse full state hybrid projective synchronization (IFSHPS) and inverse generalized synchronization (IGS) are shown to co-exist. Numerical examples are presented to confirm the findings.

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