Scientific Reports (Feb 2023)

Dynamical behaviors, circuit design, and synchronization of a novel symmetric chaotic system with coexisting attractors

  • Haitao Qiu,
  • Xuemei Xu,
  • Zhaohui Jiang,
  • Kehui Sun,
  • Can Cao

DOI
https://doi.org/10.1038/s41598-023-28509-z
Journal volume & issue
Vol. 13, no. 1
pp. 1 – 14

Abstract

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Abstract In this paper, we introduce a novel three-dimension chaotic system with strange characteristic by applying construction of a 3D chaotic circuit method. Multiple equilibria and abundant coexisting attractors exist in this system. A mathematical model is developed and detailed stability analyses for equilibrium points are executed with obtaining significant results of the period-doubling bifurcation patterns confirmed by phase plane plots and Lyapunov exponent spectra. By varying the initial value and unique controlled parameter, the double-scroll chaotic attractor is broken up into a pair of symmetric singular attractors. Then, the local basins of attraction are investigated concerning the initial condition. Next, the circuit synthesis results generated by Multisim simulation tool validate the self-excitation characteristics of this system. Finally, the feedback control technique is used to study difference synchronization of this system. Main conclusions prove the validity and reliability of difference synchronization.