Chaos in fractional ordered Liu system
Chaos in fractional ordered Liu system
No Thumbnail Available
Date
2010-02-01
Authors
Daftardar-Gejji, Varsha
Bhalekar, Sachin
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Present paper deals with fractional version of a dynamical system introduced by C. Liu, L. Liu and T. Liu [C. Liu, L. Liu, T. Liu, A novel three-dimensional autonomous chaos system, Chaos Solitons Fractals 39 (4) (2009) 1950-1958]. Numerical investigations on the dynamics of this system have been carried out. Properties of the system have been analyzed by means of Lyapunov exponents. Furthermore the minimum effective dimensions have been identified for chaos to exist in commensurate and incommensurate orders. It is noteworthy that the results obtained are consistent with the analytical conditions given in the literature. © 2009 Elsevier Ltd. All rights reserved.
Description
Keywords
Attractor,
Caputo derivative,
Chaos,
Fractional order dynamical systems
Citation
Computers and Mathematics with Applications. v.59(3)