• Statistical dynamics of parametrically perturbed sine-square map

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    • Keywords


      Transient; critical attractor; power-law; scaling exponent; weak and strong chaos; probability distribution.

    • Abstract


      We discuss the emergence and destruction of complex, critical and completely chaotic attractors in a nonlinear system when subjected to a small parametric perturbation in trigonometric, hyperbolic or noise function forms. For this purpose, a hybrid optical bistable system, which is a nonlinear physical system, has been chosen for investigation. We show that the emergence of new attractors is responsible for transients in many trajectories obeying power-law decay. The effect of perturbation on certain critical bifurcations such as period-2, onset of chaos, chaotic attractor with less complexity etc., has been studied and characterized using certain statistical features. Further, the effect of Gaussian noise with other types of perturbation has also been studied.

    • Author Affiliations


      M Santhiah1 P Philominathan1

      1. P.G. and Research Department of Physics, AVVM Sri Pushpam College (Autonomous), Poondi, Thanjavur 613 503, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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