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

• Published in: Scientific reports Vol. 13; no. 1; p. 1893
• Main Authors: Qiu, Haitao, Xu, Xuemei, Jiang, Zhaohui, Sun, Kehui, Cao, Can
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 02-02-2023; Nature Publishing Group; Nature Portfolio
• Subjects: 639/766/530; 639/766/530/2803; Design; Eigenvalues; Equilibrium; Humanities and Social Sciences; Mathematical models; multidisciplinary; Neural networks; Science; Science (multidisciplinary); Stability analysis; Synchronization
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/s41598-023-28509-z

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.