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Zbl 1195.91185
Abd-Elouahab, Mohammed Salah; Hamri, Nasr-Eddine; Wang, Junwei
Chaos control of a fractional-order financial system. (English)
[J] Math. Probl. Eng. 2010, Article ID 270646, 18 p. (2010). ISSN 1024-123X; ISSN 1563-5147/e

Summary: The fractional-order financial system introduced by {\it W.-C. Chen} [``Nonlinear dynamics and chaos in a fractional-order financial system'', Chaos Solitons Fractals 36, No.~5, 1305--1314 (2008)] displays chaotic motions at order less than 3. In this paper we extend the nonlinear feedback control in ODE systems to fractional-order systems, in order to eliminate the chaotic behavior. The results are proved analytically by applying the Lyapunov linearization method and stability condition for fractional system. Moreover, numerical simulations are shown to verify the effectiveness of the proposed control scheme.

MSC 2000:: *91G80
34H10
37N40 Dynamical systems in optimization and economics
37D45 Strange attractors, chaotic dynamics

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