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

Marius-F. Danca; Michal Fečkan; Nikolay V. Kuznetsov; Guanrong Chen

doi:10.1007/s11071-017-4029-5

Author(s)

Marius-F. Danca
Michal Fečkan
Nikolay V. Kuznetsov
Guanrong Chen

Related Research Unit(s)

Department of Electrical Engineering

Detail(s)

Original language	English
Pages (from-to)	2523-2540
Journal / Publication	Nonlinear Dynamics
Volume	91
Issue number	4
Online published	4 Jan 2018
Publication status	Published - Mar 2018

Link(s)

DOI	DOI https://doi.org/10.1007/s11071-017-4029-5 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85040031999&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(e2460b39-acc2-41a4-b299-fd8ed21adbdc).html

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)

[ RIS ] [ BibTeX ]

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 journal › peer-review

Danca, M-F, Fečkan, M, Kuznetsov, NV & Chen, G 2018, 'Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system', Nonlinear Dynamics, vol. 91, no. 4, pp. 2523-2540. https://doi.org/10.1007/s11071-017-4029-5

Danca, M-F., Fečkan, M., Kuznetsov, N. V., & Chen, G. (2018). Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system. Nonlinear Dynamics, 91(4), 2523-2540. https://doi.org/10.1007/s11071-017-4029-5

Danca M-F, Fečkan M, Kuznetsov NV, Chen G. Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system. Nonlinear Dynamics. 2018 Mar;91(4):2523-2540. Epub 2018 Jan 4. doi: 10.1007/s11071-017-4029-5

Danca, Marius-F. ; Fečkan, Michal ; Kuznetsov, Nikolay V. et al. / Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system. In: Nonlinear Dynamics. 2018 ; Vol. 91, No. 4. pp. 2523-2540.