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Anti-synchronization of Li and T Chaotic Systems by Active Nonlinear Control

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Advances in Computing and Information Technology (ACITY 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 198))

Abstract

The purpose of this paper is to study chaos anti-synchronization of identical Li chaotic systems (2009), identical T chaotic systems (2008) and non-identical Li and T chaotic systems. In this paper, sufficient conditions for achieving anti-synchronization of the identical and non-identical Li and T systems are derived using active nonlinear control and our stability results are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active nonlinear feedback control method is effective and convenient to anti-synchronize the identical and non-identical Li and T chaotic systems. Numerical simulations are also given to illustrate and validate the anti-synchronization results for the chaotic systems addressed in this paper.

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Author information

Authors and Affiliations

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

    Sundarapandian Vaidyanathan

  2. School of Electronics and Electrical Engineering, Singhania University, Dist. Jhunjhunu, Rajasthan, 333 515, India

    Karthikeyan Rajagopal

Authors
  1. Sundarapandian Vaidyanathan
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  2. Karthikeyan Rajagopal
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Editor information

Editors and Affiliations

  1. Southeastern Louisiana University, 70402, Hammond, LA, USA

    David C. Wyld

  2. Chair of Systems and Computer Networks, Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370, Wroclaw, Poland

    Michal Wozniak

  3. University of Calcutta, Calcutta, India

    Nabendu Chaki

  4. Jackson State University Jackson, 39217, MS, USA

    Natarajan Meghanathan

  5. Wireilla Net Solutions PTY Ltd, Melbourne, Victoria, Australia

    Dhinaharan Nagamalai

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© 2011 Springer-Verlag Berlin Heidelberg

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Vaidyanathan, S., Rajagopal, K. (2011). Anti-synchronization of Li and T Chaotic Systems by Active Nonlinear Control. In: Wyld, D.C., Wozniak, M., Chaki, N., Meghanathan, N., Nagamalai, D. (eds) Advances in Computing and Information Technology. ACITY 2011. Communications in Computer and Information Science, vol 198. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22555-0_19

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  • DOI: https://doi.org/10.1007/978-3-642-22555-0_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22554-3

  • Online ISBN: 978-3-642-22555-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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