Full State Hybrid Projective Synchronization Autonomous Chaotic System

2009 ◽  
Author(s):  
Zhongrong Zhang ◽  
Xingwei Liu
Keyword(s):  
Chaotic System ◽  
Projective Synchronization ◽  
Full State ◽  
Hybrid Projective Synchronization

ADAPTIVE FULL STATE HYBRID PROJECTIVE SYNCHRONIZATION IN THE UNIFIED CHAOTIC SYSTEM

2009 ◽  
Vol 23 (15) ◽  
pp. 1913-1921 ◽  
Author(s):  
XINGYUAN WANG ◽  
JUNMEI SONG
Keyword(s):  
Dynamical System ◽  
Chaotic System ◽  
Lyapunov Stability Theory ◽  
Adaptive Controller ◽  
Projective Synchronization ◽  
Unknown Parameters ◽  
Response System ◽  
Unified Chaotic System ◽  
Full State ◽  
Hybrid Projective Synchronization

This paper studies the adaptive full state hybrid projective synchronization method. Based on the Lyapunov stability theory, an adaptive controller is designed. It is proved theoretically that the controller can make the states of the dynamical system and the response system with known or unknown parameters asymptotically full state hybrid projective synchronized. A unified chaotic system is used as an example and numerical simulations show the effectiveness of the scheme.

ADAPTIVE FULL STATE HYBRID PROJECTIVE SYNCHRONIZATION OF UNIFIED CHAOTIC SYSTEM WITH UNKNOWN PARAMETERS

2011 ◽  
Vol 25 (32) ◽  
pp. 4661-4666 ◽  
Author(s):  
XING-YUAN WANG ◽  
LE-BIAO ZHU
Keyword(s):  
Dynamical System ◽  
Chaotic System ◽  
Lyapunov Stability Theory ◽  
Adaptive Controller ◽  
Projective Synchronization ◽  
Unknown Parameters ◽  
Response System ◽  
Unified Chaotic System ◽  
Full State ◽  
Hybrid Projective Synchronization

This paper studies full state hybrid projective synchronization of the unified chaotic system with unknown parameters. Based on the Lyapunov stability theory, an adaptive controller is designed. It is proved theoretically that the controller can make the states of the dynamical system and the response system with unknown parameters asymptotically full state hybrid projective synchronized. Numerical simulations show the effectiveness of the scheme.

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.

scholarly journals Chaos Control and Hybrid Projective Synchronization of a Novel Chaotic System

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Tao Wang ◽  
Kejun Wang ◽  
Nuo Jia
Keyword(s):  
Chaotic System ◽  
Chaos Control ◽  
Control Strategies ◽  
Direct Method ◽  
Projective Synchronization ◽  
Complete Synchronization ◽  
Unknown Parameters ◽  
Feedback Controllers ◽  
Adaptive Parameter ◽  
Hybrid Projective Synchronization

Adaptive feedback controllers based on Lyapunov's direct method for chaos control and hybrid projective synchronization (HPS) of a novel 3D chaotic system are proposed. Especially, the controller can be simplified ulteriorly into a single scalar one to achieve complete synchronization. The HPS between two nearly identical chaotic systems with unknown parameters is also studied, and adaptive parameter update laws are developed. Numerical simulations are demonstrated to verify the effectiveness of the control strategies.

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