• Dynamic analysis, circuit implementation and passive control of a novel four-dimensional chaotic system with multiscroll attractor and multiple coexisting attractors

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      https://www.ias.ac.in/article/fulltext/pram/090/03/0033

    • Keywords

       

      Chaotic system; multiple attractors; multiscroll attractor; circuit implementation; passive control

    • Abstract

       

      In this paper, we construct a novel 4D autonomous chaotic system with four cross-product nonlinear terms and five equilibria. The multiple coexisting attractors and the multiscroll attractor of the system are numerically investigated. Research results show that the system has various types of multiple attractors, including three strange attractors with a limit cycle, three limit cycles, two strange attractors with a pair of limit cycles, two coexisting strange attractors. By using the passive control theory, a controller is designed for controlling the chaos of the system. Both analytical and numerical studies verify that the designed controller can suppress chaotic motion and stabilise the system at the origin. Moreover, an electronic circuit is presented for implementing the chaotic system.

    • Author Affiliations

       

      BANG-CHENG LAI1 JIAN-JUN HE2

      1. Institute of Technology, East China Jiaotong University, Nanchang 330100, China
      2. College of Applied Science, Jiangxi University of Science and Technology, Ganzhou 341000, China
    • Dates

       
  • Pramana – Journal of Physics | News

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