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Generalized Projective Synchronization of Hyperchaotic Lü and Hyperchaotic Cai Systems via Active Control

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Abstract

This paper investigates the problem of designing active feedback controllers for achieving generalized projective synchronization (GPS) of identical hyperchaotic Lü systems (Chen et al. 2006) and non-identical hyperchaotic Cai system (Wang and Cai, 2009) and hyperchaotic Lü system. The synchronization results (GPS) derived in this paper have been established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active feedback control method is very effective and convenient for achieving the general projective synchronization (GPS) of hyperchaotic Lü and hyperchaotic Cai systems. Numerical simulations are shown to demonstrate the effectiveness of the synchronization results derived in this paper.

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Author information

Authors and Affiliations

  1. Dept. of Computer Science and Engineering, Vel Tech Dr. RR & Dr. SR Technical University, Avadi-Alamathi Road, Avadi, Chennai, 600 062, India

    Sarasu Pakiriswamy

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

    Sundarapandian Vaidyanathan

Authors
  1. Sarasu Pakiriswamy
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  2. Sundarapandian Vaidyanathan
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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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Pakiriswamy, S., Vaidyanathan, S. (2012). Generalized Projective Synchronization of Hyperchaotic Lü and Hyperchaotic Cai Systems via Active 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_6

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  • DOI: https://doi.org/10.1007/978-3-642-27299-8_6

  • 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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