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[01730] A family of robust chaotic S-unimodal maps based on Gaussian function

  • Session Time & Room : 1C (Aug.21, 13:20-15:00) @
  • Type : Contributed Talk
  • Abstract : we propose a new family of one-dimensional smooth maps based on the Gaussian function exhibiting robust chaos in a wide range of parameter space. We prove the existence of robust chaos in the proposed family of maps using the stability criterion and extensive numerical computation of the Lyapunov exponent and sample entropy. We also present other important properties such as the bifurcation phenomenon, invariant measure, ergodicity, entropy and other statistical properties of the proposed robust chaos map.
  • Classification : 37M05, 37M20, 37M25, 65P40
  • Author(s) :
    • Vinod Patidar (Sir Padampat Singhania University)