期刊
ADVANCES IN DIFFERENCE EQUATIONS
卷 -, 期 -, 页码 -出版社
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/1687-1847-2013-320
关键词
Chua's system; fractional-order differential equations; fixed points; asymptotic stability; chaotic attractor; bifurcation; chaos
In this paper we are interested in the fractional-order form of Chua's system. A discretization process will be applied to obtain its discrete version. Fixed points and their asymptotic stability are investigated. Chaotic attractor, bifurcation and chaos for different values of the fractional-order parameter are discussed. We show that the proposed discretization method is different from other discretization methods, such as predictor-corrector and Euler methods, in the sense that our method is an approximation for the right-hand side of the system under study.
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