Chaotic analysis and adaptive synchronization for a class of fractional order financial system

Abstract In this paper, the generation conditions of chaotic behavior are discussed and the adaptive synchronization control method for a class of fractional order financial system is proposed. Based on the stability theory of fractional order system, the necessary conditions for the system to generate chaotic attractors are analyzed by the equilibrium points and the corresponding eigenvalues. In order to solve the synchronization problem of financial system with fractional order, a novel adaptive synchronization method is proposed based on the generalized Lyapunov stability theory, which is simple in structure and is easy to implement. Finally, the numerical simulations are exploited to verify the effectiveness and feasibility of the proposed method.

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