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Hybrid Synchronization of Arneodo and Rössler Chaotic Systems by Active Nonlinear Control

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Advances in Computer Science and Information Technology. Networks and Communications (CCSIT 2012)

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.

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Author information

Authors and Affiliations

  1. Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical University, Avadi-Alamathi Road, Avadi, Chennai, 600 062, India

    Sundarapandian Vaidyanathan & Suresh Rasappan

Authors
  1. Sundarapandian Vaidyanathan
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  2. Suresh Rasappan
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Editor information

Editors and Affiliations

  1. Jackson State University, Jackson, MS, USA

    Natarajan Meghanathan

  2. University of Calcutta, Calcutta, India

    Nabendu Chaki

  3. Wireilla Net Solutions PTY Ltd., Melbourne, VIC, Australia

    Dhinaharan Nagamalai

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© 2012 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Vaidyanathan, S., Rasappan, S. (2012). Hybrid Synchronization of Arneodo and Rössler Chaotic Systems by Active Nonlinear Control. In: Meghanathan, N., Chaki, N., Nagamalai, D. (eds) Advances in Computer Science and Information Technology. Networks and Communications. CCSIT 2012. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27299-8_8

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  • DOI: https://doi.org/10.1007/978-3-642-27299-8_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27298-1

  • Online ISBN: 978-3-642-27299-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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