Four-wing attractors : From pseudo to real

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

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Detail(s)

Original languageEnglish
Pages (from-to)859-885
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume16
Issue number4
Publication statusPublished - 2006

Abstract

Some basic dynamical behaviors and the compound structure of a new four-dimensional autonomous chaotic system with cubic: nonlinearities are investigated. A four-wing chaotic attractor is observed numerically. This attractor, however, is shown to be an numerical artifact by further theoretical analysis and analog circuit experiment. The observed four-wing attractor actually has two coexisting (upper and lower) attractors, which appear simultaneously and are located arbitrarily closely in the phase space. By introducing a simple linear state-feedback control term, some symmetries of the system and similarities of the linearized characteristics can be destroyed, thereby leading to the appearance of some diagonal and anti-diagonal periodic orbits, through which the upper and lower attractors can indeed be merged together to form a truly single four-wing chaotic attractor. This four-wing attractor is real; it is further confirmed analytically, numerically, as well as electronically in the paper. Moreover, by introducing a signswitching control function, the system orbit can be manipulated so as to switch between two equilibria or among four equilibria, generating two one-side double-wing attractors, which can also be merged to yield a real four-wing attractor. © World Scientific Publishing Company.

Research Area(s)

  • Bifurcation, Chaos, Double-wing attractor, Four-dimensional chaotic system, Four-wing attractor, Lyapunov exponent, Switching parameter

Citation Format(s)

Four-wing attractors : From pseudo to real. / Qi, Guoyuan; Chen, Guanrong; Li, Shaowen; Zhang, Yuhui.

In: International Journal of Bifurcation and Chaos, Vol. 16, No. 4, 2006, p. 859-885.

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