4.6 Article

Chaos control of a fractional order modified coupled dynamos system

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 71, Issue 12, Pages 6126-6134

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2009.06.065

Keywords

A fractional order modified coupled dynamos system; Fractional order Routh-Hurwitz condition; Equilibrium point; Feedback control method

Funding

  1. National Natural Science Foundation of China [60573172]
  2. Superior University doctor subject special scientific research foundation of China [20070141014]
  3. National Natural Science Foundation of Liaoning province [20082165]

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This paper analyzes some Routh-Hurwitz stability conditions generalized to the fractional order case, and discusses the stability region of the fractional order system. We analyze the chaotic behavior of the fractional order modified Coupled dynamos system concretely, and provide the conditions suppressing chaos to unstable equilibrium points, then use the feedback control method to control chaos in the fractional order modified coupled dynamos system. Numerical simulations show the effectiveness of the method. (C) 2009 Elsevier Ltd. All rights reserved.

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