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
收藏
页码：2523 / 2540
页数：18
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