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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/064/03/0411-0421

    • Keywords

       

      Nonlinear dynamics; logistic map; -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
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