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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/092/03/0042

    • Keywords

       

      Chaos; antimonotonicity; piecewise linear

    • Abstract

       

      We report, in this paper, a complete analytical study on the bifurcations and chaotic phenomena observed in certain second-order, non-autonomous, dissipative chaotic systems. One-parameter bifurcation diagrams obtained from the analytical solutions revealing several chaotic phenomena such as antimonotonicity, period-doubling sequences and Feignbaum remerging have been presented. Further, the analytical solutions are used to obtain basins of attraction, phase portraits and Poincare maps for different chaotic systems. Experimentally observed chaotic attractors in some of the systems are presented to confirm the analytical results. The bifurcations andchaotic phenomena studied through explicit analytical solutions are reported in the literature for the first time.

    • Author Affiliations

       

      G SIVAGANESH1 A ARULGNANAM2 A N SEETHALAKSHMI3

      1. Department of Physics, Alagappa Chettiar Government College of Engineering and Technology, Karaikudi 630 004, India
      2. Department of Physics, St. John’s College (affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli 627 012, India), Palayamkottai 627 002, India
      3. Department of Physics, The M.D.T. Hindu College (affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli 627 012, India), Tirunelveli 627 010, India

    • Dates

       
      Published
      5 March 2019
      Manuscript received
      9 February 2018
      Manuscript revised
      13 August 2018
      Accepted
      20 August 2018
      Early published
      Unedited version published online
      Final version published online
      1 February 2019

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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