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- Title
Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system.
- Authors
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay V.; Chen, Guanrong
- 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.
- Subjects
CONTINUOUS functions; CHAOS theory; APPROXIMATION theory; FRACTIONAL calculus; DIFFERENTIAL inclusions
- Publication
Nonlinear Dynamics, 2018, Vol 91, Issue 4, p2523
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-017-4029-5