Analysis and circuit implementation of a new 4D chaotic system

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

105 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)386-397
Journal / PublicationPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume352
Issue number4-5
Publication statusPublished - 3 Apr 2006

Abstract

This Letter contains three parts. First, it analyzes some basic properties of a new complex four-dimensional (4D) continuous autonomous chaotic system, in which each equation contains a cubic cross-product term. The new system has 9 equilibria, which display graceful symmetry with respect to the origin and the coordinate planes, and they have similarity associated with their linearized characteristics and along with invariant manifolds. Second, under constant control, the system displays (i) two coexisting symmetric double-wing chaotic attractors simultaneously, and (ii) two coexisting asymmetric double-wing and two coexisting single-wing attractors including chaotic, period-doubling, and periodic orbits. The evolution process of an attractor from double-wing to single-wing is investigated via a distribution diagram of equilibria and bifurcation diagrams of the system states. Finally, several circuits are built for different configurations of the new system, which show a good agreement between computer simulations and experimental results, revealing some important distinctions in applications arising from different frequencies used. © 2005 Elsevier B.V. All rights reserved.

Research Area(s)

  • Circuit implementation, Double-wing chaotic attractor, Four-dimensional chaotic system, Hopf bifurcation, Lyapunov exponent, Pitchfork bifurcation, Single-wing chaotic attractor