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- Title
Hidden chaotic attractors in fractional-order systems.
- Authors
Danca, Marius-F.
- Abstract
In this paper, we present a scheme for uncovering hidden chaotic attractors in nonlinear autonomous systems of fractional order. The stability of equilibria of fractional-order systems is analyzed. The underlying initial value problem is numerically integrated with the predictor-corrector Adams-Bashforth-Moulton algorithm for fractional-order differential equations. Three examples of fractional-order systems are considered: a generalized Lorenz system, the Rabinovich-Fabrikant system and a non-smooth Chua system.
- Subjects
FRACTIONAL calculus; DIFFERENTIAL equations; LORENZ equations; NONLINEAR systems; CHAOS theory; ATTRACTORS (Mathematics)
- Publication
Nonlinear Dynamics, 2017, Vol 89, Issue 1, p577
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-017-3472-7