• Modified function projective combination synchronization of hyperchaotic systems

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    • Keywords


      Combination hyperchaotic system; modified function projective combination synchronization; adaptive control; hyperchaotic Lorenz system; hyperchaotic Lu system; Lyapunov stability theory

    • Abstract


      In this work, a novel combination synchronization scheme in which synchronization of a new combination hyperchaotic drive system formed by combining state variables of the original drive system with appropriate scaling factors with a response hyperchaotic system is considered. A self-combination system is constructed from hyperchaotic Lorenz system by combining state variables of the Lorenz system with appropriate scaling factors. Modified function projective synchronization between the newly constructed combination hyperchaotic Lorenz system and hyperchaotic Lu system is investigated using adaptive method. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the state of two systems as modified function projective synchronized. Numerical simulations are done to show the validity and effectiveness of the proposed synchronization scheme.

    • Author Affiliations



      1. Department of Physics, Christ College, Irinjalakuda, University of Calicut, Thrissur 680 125, India
      2. Department of Physics, Cochin University of Science and Technology, Cochin 682 022, India
    • Dates

  • Pramana – Journal of Physics | News

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