Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems

This paper investigates the combination-combination synchronization of four nonlinear complex chaotic systems. Based on the Lyapunov stability theory, corresponding controllers to achieve combination-combination synchronization among four different nonlinear complex chaotic systems are derived. The...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.484-497
Main Authors: Zhou, Xiaobing, Cai, Xiaomei, Xiong, Lianglin
Format: Article
Language:English
Subjects:
Analysis
Chaos synchronization
Chaos theory
Communication
Computer simulation
Controllers
Liapunov functions
Mathematical models
Neural networks
Nonlinear systems
Nonlinearity
Science
Stability
Studies
Synchronism
Synchronization
Variables
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Summary:This paper investigates the combination-combination synchronization of four nonlinear complex chaotic systems. Based on the Lyapunov stability theory, corresponding controllers to achieve combination-combination synchronization among four different nonlinear complex chaotic systems are derived. The special cases, such as combination synchronization and projective synchronization, are studied as well. Numerical simulations are given to illustrate the theoretical analysis.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/953265