期刊
APPLIED MATHEMATICAL MODELLING
卷 38, 期 13, 页码 3361-3372出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2013.11.054
关键词
Chaos; Synchronization; Fractional derivative; Rabinovich-Fabrikant system; Chaos control; Feedback control
In this article the local stability of the Rabinovich-Fabrikant (R-F) chaotic system with fractional order time derivative is analyzed using fractional Routh-Hurwitz stability criterion. Feedback control method is used to control chaos in the considered fractional order system and after controlling the chaos the authors have introduced the synchronization between fractional order non-chaotic R-F system and the chaotic R-F system at various equilibrium points. The fractional derivative is described in the Caputo sense. Numerical simulation results which are carried out using Adams-Boshforth-Moulton method show that the method is effective and reliable for synchronizing the systems. (C) 2013 Elsevier Inc. All rights reserved.
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