On Inverse Full State Hybrid Function Projective Synchronization For Continuous-time Chaotic Dynamical Systems with Arbitrary Dimensions

2017 ◽  
Vol 28 (4) ◽  
pp. 1045-1058 ◽  
Author(s):  
Adel Ouannas ◽  
Ahmad Taher Azar ◽  
Toufik Ziar
Keyword(s):  
Dynamical Systems ◽  
Continuous Time ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
Chaotic Dynamical Systems ◽  
Full State ◽  
Hybrid Function ◽  
Arbitrary Dimensions

A General Method to Study the Co-Existence of Different Hybrid Synchronizations in Fractional-Order Chaotic Systems

2019 ◽  
Vol 20 (3-4) ◽  
pp. 351-359
Author(s):  
Adel Ouannas ◽  
Samir Bendoukha ◽  
Abdulrahman Karouma ◽  
Salem Abdelmalek
Keyword(s):  
Fractional Order ◽  
Stability Theory ◽  
Projective Synchronization ◽  
The Novel ◽  
Fractional Order Systems ◽  
Function Projective Synchronization ◽  
Novel Approach ◽  
Full State ◽  
Hybrid Function ◽  
New Type

AbstractReferring to incommensurate fractional-order systems, this paper proposes a new type of chaos synchronization by combining full state hybrid function projective synchronization (FSHFPS) and inverse full state hybrid function projective synchronization (IFSHFPS). In particular, based on stability theory of linear integer-order systems and stability theory of linear fractional-order systems, the co-existence of FSHFPS and IFSHFPS between incommensurate fractional chaotic (hyperchaotic) systems is proved. To illustrate the capabilities of the novel approach proposed herein, numerical and simulation results are given.

THE HYBRID FUNCTION PROJECTIVE SYNCHRONIZATION OF CHAOTIC SYSTEMS

2009 ◽  
Vol 20 (05) ◽  
pp. 789-797
Author(s):  
YONG-GUANG YU ◽  
HAN-XIONG LI ◽  
JUN-ZHI YU
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Stability ◽  
Chaotic Systems ◽  
Lyapunov Stability Theory ◽  
Adaptive Controller ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
Hybrid Function ◽  
Simulation Results ◽  
Different Chaotic Systems

This paper mainly investigated a hybrid function projective synchronization of two different chaotic systems. Based on the Lyapunov stability theory, an adaptive controller for the synchronization of two different chaotic systems is designed. This technique is applied to achieve the synchronization between Lorenz and Rössler chaotic systems, and the synchronization of hyperchaotic Rössler and Chen systems. The numerical simulation results illustrate the effectiveness and feasibility of the proposed scheme.

Adaptive Full State Hybrid Function Projective Lag Synchronization in Chaotic Continuous-Time System

2011 ◽  
Vol 383-390 ◽  
pp. 4169-4174
Author(s):  
Hui Ling Xi ◽  
Si Min Yu ◽  
Hui Ling Xi
Keyword(s):  
Continuous Time ◽  
Secure Communication ◽  
Lyapunov Stability Theory ◽  
Adaptive Controller ◽  
Lag Synchronization ◽  
Time System ◽  
Full State ◽  
Hybrid Function ◽  
Projective Lag Synchronization ◽  
Continuous Time System

Based on the Lyapunov stability theory, an adaptive full state hybrid function projective lag synchronization (FSHFPLS) scheme is investigated in chaotic continuous-time system, and a unified adaptive controller and parameters update law are designed for achieved the projective lag synchronization up to a desired scaling function. In addition, a scheme for secure communication is presented. Numerical simulations are performed to verify and illustrate the analytical results.

scholarly journals Adaptive Hybrid Function Projective Synchronization of Chaotic Systems with Time-Varying Parameters

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Jinsheng Xing
Keyword(s):  
Chaotic Systems ◽  
Projective Synchronization ◽  
Time Varying ◽  
Chen System ◽  
Varying Parameters ◽  
Function Projective Synchronization ◽  
Time Varying Parameters ◽  
Hybrid Function ◽  
Robust Adaptive ◽  
Different Chaotic Systems

The adaptive hybrid function projective synchronization (AHFPS) of different chaotic systems with unknown time-varying parameters is investigated. Based on the Lyapunov stability theory and adaptive bounding technique, the robust adaptive control law and the parameters update law are derived to make the states of two different chaotic systems asymptotically synchronized. In the control strategy, the parameters need not be known throughly if the time-varying parameters are bounded by the product of a known function oftand an unknown constant. In order to avoid the switching in the control signal, a modified robust adaptive synchronization approach with the leakage-like adaptation law is also proposed to guarantee the ultimately uni-formly boundedness (UUB) of synchronization errors. The schemes are successfully applied to the hybrid function projective synchronization between the Chen system and the Lorenz system and between hyperchaotic Chen system and generalized Lorenz system. Moreover, numerical simulation results are presented to verify the effectiveness of the proposed scheme.

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