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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/090/04/0050

    • Keywords

       

      Hyperchaos; hidden attractor; synchronisation; circuit implementation; fractional-order analysis

    • Abstract

       

      Hidden hyperchaotic attractors can be generated with three positive Lyapunov exponents in the proposed 5D hyperchaotic Burke–Shaw system with only one stable equilibrium. To the best of our knowledge, this feature has rarely been previously reported in any other higher-dimensional systems. Unidirectional linear error feedback coupling scheme is used to achieve hyperchaos synchronisation, which will be estimated by using two indicators: the normalised average root-mean squared synchronisation error and the maximum cross-correlation coefficient. The 5D hyperchaotic system has been simulated using a specially designed electronic circuit and viewed on an oscilloscope, thereby confirming the results of the numerical integration. In addition, fractional-order hidden hyperchaotic system will be considered from the following three aspects: stability, bifurcation analysis and FPGA implementation. Such implementations in real time represent hidden hyperchaotic attractors with important consequences for engineering applications.

    • Author Affiliations

       

      ZHOUCHAO WEI1 2 KARTHIKEYAN RAJAGOPAL3 WEI ZHANG4 SIFEU TAKOUGANG KINGNI5 AKIF AKGÜL6

      1. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
      2. Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, China
      3. Center for Nonlinear Dynamics, Department of Electrical and Communication Engineering, The PNG University of Technology, Lae, Papua New Guinea
      4. College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
      5. Department of Mechanical and Electrical Engineering, Institute of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon
      6. Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, Adapazarı, Sakarya, Turkey

    • Dates

       
      Published
      3 April 2018
      Manuscript received
      6 August 2017
      Manuscript revised
      1 November 2017
      Accepted
      9 November 2017
      Early published
      Unedited version published online
      Final version published online
      7 March 2018

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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