Conditional symmetry : bond for attractor growing

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

44 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)1245–1256
Journal / PublicationNonlinear Dynamics
Volume95
Issue number2
Online published31 Oct 2018
Publication statusPublished - Jan 2019

Abstract

Coexisting attractors with conditional symmetry exist in separated asymmetric basins of attraction with identical Lyapunov exponents. It is found that when a periodic function is introduced into the offset-boostable variable, infinitely many coexisting attractors may be coined. More interestingly, such coexisting attractors may be hinged together and then grow in the phase space as the time evolves without any change of the Lyapunov exponents. It is shown that, in such cases, an initial condition can be applied for selecting the starting position; consequently, the system will present a special regime of homogenous multistability. Circuit implementation based on STM32 verifies the numerical simulations and theoretical analysis.

Research Area(s)

  • Attractor, Conditional symmetry, Homogenous multistability, Offset boosting

Citation Format(s)

Conditional symmetry : bond for attractor growing. / Li, Chunbiao; Xu, Yujie; Chen, Guanrong; Liu, Yongjian; Zheng, Jincun.

In: Nonlinear Dynamics, Vol. 95, No. 2, 01.2019, p. 1245–1256.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review