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      https://www.ias.ac.in/article/fulltext/pram/089/06/0084

    • Keywords

       

      Newautonomous chaotic system; chaotic attractors; Lyapunov stability theory; ultimate boundedness; numerical localization

    • Abstract

       

      This paper investigates a new three-dimensional continuous quadratic autonomous chaotic system which is not topologically equivalent to the Lorenz system. The dynamical behaviours of this system are furtherinvestigated in detail, including the ultimate boundedness, the invariant sets and the global attraction domain according to Lyapunov stability theory of dynamical systems. The innovation of the paper lies in the fact that this paper not only proves this chaotic system is globally bounded for the parameters of this system but also gives a familyof mathematical expressions of global exponential attractive sets with respect to the parameters of this system. To validate the ultimate bound estimation, numerical simulations are also investigated. Numerical simulations verify the effectiveness and feasibility of the theoretical scheme.

    • Author Affiliations

       

      FUCHEN ZHANG1 2 XIAOFENG LIAO3 GUANGYUN ZHANG1 CHUNLAI MU4

      1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, People’s Republic of China
      2. College of Mathematics and Statistics, Southwest University, Chongqing 400716, People’s Republic of China
      3. College of Electronic and Information Engineering, Southwest University, Chongqing 400716, People’s Republic of China
      4. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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