Journal ArticleDOI
Combination–combination synchronization among four identical or different chaotic systems
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Based on one drive system and one response system synchronization model, a new type of combination synchronization is proposed for four identical or different chaotic systems in this paper, which can be extended to three or more chaotic systems.Abstract:
Based on one drive system and one response system synchronization model, a new type of combination–combination synchronization is proposed for four identical or different chaotic systems. According to the Lyapunov stability theorem and adaptive control, numerical simulations for four identical or different chaotic systems with different initial conditions are discussed to show the effectiveness of the proposed method. Synchronization about combination of two drive systems and combination of two response systems is the main contribution of this paper, which can be extended to three or more chaotic systems. A universal combination of drive systems and response systems model and a universal adaptive controller may be designed to our intelligent application by our synchronization design.read more
Citations
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Journal ArticleDOI
Compound synchronization of four memristor chaotic oscillator systems and secure communication
TL;DR: A secure communication scheme via adaptive compound synchronization of four memristor chaotic oscillator systems is presented, and the corresponding theoretical proofs and numerical simulations are given to demonstrate the validity and feasibility of the proposed control technique.
Journal ArticleDOI
Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances
TL;DR: This paper investigates two classes of synchronization problems of multiple chaotic systems with unknown uncertainties and disturbances by employing sliding mode control and Simulation results are given to illustrate the effectiveness of the proposed schemes by comparing with the existing methods.
Journal ArticleDOI
Finite-time real combination synchronization of three complex-variable chaotic systems with unknown parameters via sliding mode control
TL;DR: In this paper, a nonsingular terminal sliding mode control is designed to ensure the real combination synchronization of three complex-variable chaotic systems in a given finite time, which is theoretically gained that the introduced sliding mode technique has finite-time convergence and stability in both arriving and sliding mode phases.
Journal ArticleDOI
Adaptive synchronization of multiple uncertain coupled chaotic systems via sliding mode control
Xiangyong Chen,Xiangyong Chen,Xiangyong Chen,Ju H. Park,Jinde Cao,Jinde Cao,Jianlong Qiu,Jianlong Qiu +7 more
TL;DR: Two kinds of sliding mode synchronization (SMS) for multiple chaotic systems with unknown parameters and disturbances are investigated, and the appropriate adaptive laws are proposed to estimate unknown parameters.
Journal ArticleDOI
Finite-time synchronization between two complex-variable chaotic systems with unknown parameters via nonsingular terminal sliding mode control
TL;DR: It is theoretically proved that the introduced sliding mode technique has finite-time convergence and stability in both reaching and sliding mode phases and numerical simulation results are shown to verify the effectiveness and applicability of the finite- time synchronization.
References
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Journal ArticleDOI
Synchronization in chaotic systems
TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
Journal ArticleDOI
Synchronizing chaotic circuits
TL;DR: The authors describe the conditions necessary for synchronizing a subsystem of one chaotic system with a separate chaotic system by sending a signal from the chaotic system to the subsystem by sending signals from the Chaos Junction.
Journal ArticleDOI
Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems.
Ljupco Kocarev,Ulrich Parlitz +1 more
TL;DR: Necessary and sufficient conditions for the occurrence of generalized synchronization of unidirectionally coupled dynamical systems are given in terms of asymptotic stability and the existence of generalized synchronized systems in the case of parameter mismatch between coupled systems leads to a new interpretation of recent experimental results.
Journal ArticleDOI
Adaptive control for anti-synchronization of Chua's chaotic system
Jia Hu,Shihua Chen,Li Chen +2 more
TL;DR: In this article, a systematic design procedure to anti-synchronize Chua's chaotic system based on back-stepping procedure is presented, which needs only a single controller to realize anti-sync.
Journal ArticleDOI
Complete synchronization of chaotic complex nonlinear systems with uncertain parameters
Gamal M. Mahmoud,Emad E. Mahmoud +1 more
TL;DR: In this article, an adaptive control scheme is designed to study the synchronization of chaotic attractors of n-dimensional chaotic complex systems with uncertain parameters, and the adaptive control functions and the parameters estimation laws are calculated analytically based on the complex Lyapunov function.