Research Article
Hybrid Synchronization of Arneodo and Rössler Chaotic Systems by Active Nonlinear Control
@INPROCEEDINGS{10.1007/978-3-642-27299-8_8, author={Sundarapandian Vaidyanathan and Suresh Rasappan}, title={Hybrid Synchronization of Arneodo and R\o{}ssler Chaotic Systems by Active Nonlinear Control}, proceedings={Advances in Computer Science and Information Technology. Networks and Communications. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part I}, proceedings_a={CCSIT PART I}, year={2012}, month={11}, keywords={Hybrid synchronization chaos Arneodo system R\o{}ssler system active nonlinear control}, doi={10.1007/978-3-642-27299-8_8} }- Sundarapandian Vaidyanathan
Suresh Rasappan
Year: 2012
Hybrid Synchronization of Arneodo and Rössler Chaotic Systems by Active Nonlinear Control
CCSIT PART I
Springer
DOI: 10.1007/978-3-642-27299-8_8
Abstract
This paper investigates the hybrid chaos synchronization of identical Arneodo systems (1981), identical Rössler systems (1976) and non-identical Arneodo and Rössler systems. In hybrid synchronization of chaotic systems, one part of the systems is synchronized and the other part is anti-synchronized so that complete synchronization (CS) and anti-synchronization (AS) co-exist in the systems. The co-existence of CS and AS is very useful in secure communication and chaotic encryption schemes. Active nonlinear control is the method used for the hybrid synchronization of the chaotic systems addressed in this paper. Since the Lyapunov exponents are not required for these calculations, the active control method is effective and convenient to achieve hybrid synchronization of the two chaotic systems. Numerical simulations are shown to verify the results.