• Projective synchronization of chaotic systems with bidirectional nonlinear coupling

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      https://www.ias.ac.in/article/fulltext/pram/081/03/0395-0406

    • Keywords

       

      Projective synchronization; unified chaotic system; Lyapunov stability theory.

    • Abstract

       

      This paper presents a new scheme for constructing bidirectional nonlinear coupled chaotic systems which synchronize projectively. Conditions necessary for projective synchronization (PS) of two bidirectionally coupled chaotic systems are derived using Lyapunov stability theory. The proposed PS scheme is discussed by taking as examples the so-called unified chaotic model, the Lorenz–Stenflo system and the nonautonomous chaotic Van der Pol oscillator. Numerical simulation results are presented to show the efficiency of the proposed synchronization scheme.

    • Author Affiliations

       

      Mohammada Ali Khan1 Swarup Poria2

      1. Department of Mathematics, Garhbeta Ramsundar Vidyabhaban, Garhbeta, Paschim Medinipur 721 127, India
      2. Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata 700 009, India
    • Dates

       
  • Pramana – Journal of Physics | News

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