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

被引：38

作者：

Danca, Marius-F ^{[1
,2
]}

Feckan, Michal ^{[3
,4
]}

Kuznetsov, Nikolay V. ^{[5
,6
]}

Chen, Guanrong ^{[7
]}

机构：

[1] Avram Iancu Univ, Dept Math & Comp Sci, Cluj Napoca 400380, Romania

[2] Romanian Inst Sci & Technol, Cluj Napoca 400487, Romania

[3] Comenius Univ, Dept Math Anal & Numer Math, Fac Math Phys & Informat, Bratislava 84248, Slovakia

[4] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia

[5] St Petersburg State Univ, Dept Appl Cybernet, St Petersburg, Russia

[6] Univ Jyvaskyla, Dept Math Informat Technol, Jyvaskyla, Finland

[7] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

来源：

NONLINEAR DYNAMICS | 2018年 / 91卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

PWC system of fractional order; Continuous approximation; Hidden chaotic attractor; Hyperchaos; Periodicity of fractional-order system; PERIODIC-SOLUTIONS; CHAOTIC ATTRACTORS; NUMERICAL-SOLUTION; NONEXISTENCE; DIFFERENCE; EXISTENCE;

D O I：

10.1007/s11071-017-4029-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

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.

引用

页码：2523 / 2540

页数：18

共 46 条

[21] The Periodic Solution of Fractional Oscillation Equation with Periodic Input [J].