An Extremely Simple Chaotic System with Infinitely Many Coexisting Attractors

Qiang Lai, Paul Didier Kamdem Kuate, Feng Liu, Herbert Ho Ching Iu

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The discovery of simple chaotic systems with complex dynamics has always been an interesting research work. This brief aims to construct an extremely simple chaotic system with infinitely many coexisting chaotic attractors. The system consists of five terms with two nonlinearities, and has an infinite number of unstable equilibria owing to its sinusoidal nonlinearity. The most prominent feature of the system is that it coexists infinitely many chaotic attractors for different initial values and fixed system parameters. To our best knowledge, there is no 3-D system with such a simple mathematical model can produce infinitely many coexisting chaotic attractors. The phenomenon of coexisting attractors of the new system is numerically investigated. The circuit and microcontroller-based implementation of the system are presented as well.

Original languageEnglish
Article number8758327
Pages (from-to)1129-1133
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Volume67
Issue number6
DOIs
Publication statusPublished - Jun 2020

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