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

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

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

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

40 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2523-2540
Journal	Nonlinear Dynamics
Volume	91
Issue number	4
Online published	4 Jan 2018
DOIs	https://doi.org/10.1007/s11071-017-4029-5
Publication status	Published - Mar 2018

Research Keywords

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

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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.",

keywords = "Continuous approximation, Hidden chaotic attractor, Hyperchaos, Periodicity of fractional-order system, PWC system of fractional order",

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AU - Danca, Marius-F.

AU - Fečkan, Michal

AU - Kuznetsov, Nikolay V.

AU - Chen, Guanrong

PY - 2018/3

Y1 - 2018/3

N2 - 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.

AB - 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.

KW - Continuous approximation

KW - Hidden chaotic attractor

KW - Hyperchaos

KW - Periodicity of fractional-order system

KW - PWC system of fractional order

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U2 - 10.1007/s11071-017-4029-5

DO - 10.1007/s11071-017-4029-5

M3 - RGC 21 - Publication in refereed journal

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EP - 2540

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

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

Abstract

Research Keywords

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