Infinitely Many Coexisting Attractors in No-Equilibrium Chaotic System. (28th March 2020)

• Record Type: Journal Article
• Authors: Lai, Qiang; Kamdem Kuate, Paul Didier; Pei, Huiqin; Fotsin, Hilaire
• Other Names: Li Chun-Lai Guest Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-03-28
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/8175639
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This paper proposes a new no-equilibrium chaotic system that has the ability to yield infinitely many coexisting hidden attractors. Dynamic behaviors of the system with respect to the parameters and initial conditions are numerically studied. It shows that the system has chaotic, quasiperiodic, and periodic motions for different parameters and coexists with a large number of hidden attractors for different initial conditions. The circuit and microcontroller implementations of the system are given for illustrating its physical meaning. Also, the synchronization conditions of the system are established based on the adaptive control method.