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    • Keywords


      Nonlinear dynamics; logistic map; q-deformation; Tsallis statistics

    • Abstract


      Motivated by studies onq-deformed physical systems related to quantum group structures, and by the elements of Tsallis statistical mechanics, the concept ofq-deformed nonlinear maps is introduced. As a specific example, aq-deformation procedure is applied to the logistic map. Compared to the canonical logistic map, the resulting family ofq-logistic maps is shown to have a wider spectrum of interesting behaviours, including the co-existence of attractors — a phenomenon rare in one-dimensional maps.

    • Author Affiliations


      Ramaswamy Jaganathan1 Sudeshna Sinha1

      1. The Institute of Mathematical Sciences, C.I.T. Campus, Tharamani, Chennai - 600 113, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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