Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system

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)2523-2540
Journal / PublicationNonlinear Dynamics
Volume91
Issue number4
Online published4 Jan 2018
Publication statusPublished - Mar 2018

Abstract

In this paper, a continuous approximation to studying a class of PWC systems of fractional-order is presented. Some known results of set-valued analysis and differential inclusions are utilized. The example of a hyperchaotic PWC system of fractional order is analyzed. It is found that without equilibria, the system has hidden attractors.

Research Area(s)

  • Continuous approximation, Hidden chaotic attractor, Hyperchaos, Periodicity of fractional-order system, PWC system of fractional order

Citation Format(s)

Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system. / Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay V. et al.

In: Nonlinear Dynamics, Vol. 91, No. 4, 03.2018, p. 2523-2540.

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