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      https://www.ias.ac.in/article/fulltext/pram/091/06/0089

    • Keywords

       

      Multistability; Lorenz system; Lorenz-Stenflo system; bifurcation analysis; synchronisation

    • Abstract

       

      Multistability or coexistence of different chaotic attractors for a given set of parameters depending on the initial condition only is one of the most exciting phenomenon in dynamical systems. The schemes to designmultistability systems via coupling two identical or non-identical but the same-dimensional systems have been proposed earlier. Coupled different-dimensional systems are very useful to describe the real-world physical and biological systems. In this paper, a scheme for designing a multistable system by coupling two different-dimensional dynamical systems has been proposed. Coupled Lorenz and Lorenz–Stenflo systems have been considered to illustrate the scheme. The efficiency of the scheme is shown numerically, by presenting phase diagrams, bifurcation diagrams and variation of maximum Lyapunov exponents.

    • Author Affiliations

       

      MOHAMMAD ALI KHAN1 MAYURAKSHI NAG2 SWARUP PORIA2

      1. Department of Mathematics, Ramananda College, Bishnupur 722 122, India
      2. Department of Applied Mathematics, University of Calcutta, Kolkata 700 073, India
    • Dates

       
  • Pramana – Journal of Physics | News

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