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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/091/01/0011

    • Keywords

       

      Self-excited attractors; hidden attractors; nonlinear oscillators

    • Abstract

       

      In this paper, we design a new two-dimensional nonlinear oscillator with infinite number of coexisting limit cycles distributed in a plane. One-third of these limit cycles are self-excited attractors while two-third of them are hidden attractors. Modifying this new system to its forced version, we obtain a new nonlinear system with infinite number of coexisting torus attractors and limit cycle attractors.

    • Author Affiliations

       

      YANXIA TANG1 2 HAMID REZA ABDOLMOHAMMADI3 ABDUL JALIL M KHALAF4 YE TIAN1 2 TOMASZ KAPITANIAK5

      1. Department of Mathematics, College of Science, Hebei North University, Zhangjiakou 075000, Hebei, China
      2. Engineering Technology Research Center of Population Health Informatization in Hebei Province, Zhangjiakou 075000, Hebei, China
      3. Department of Electrical Engineering, Golpayegan University of Technology, Golpayegan, Iran
      4. Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq
      5. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland

    • Dates

       
      Published
      5 July 2018
      Manuscript received
      14 October 2017
      Manuscript revised
      30 November 2017
      Accepted
      4 January 2018
      Early published
      Unedited version published online
      Final version published online
      15 June 2018

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

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