Synchronization of variable-order fractional financial system via active control method

• Authors: Yufeng Xu , Zhimin He
• Languages of publication: EN

Abstracts

EN

In this paper, we study the chaotic dynamics of a Variable-Order Fractional Financial System (VOFFS). The Variable-Order Fractional Derivative (VOFD) is defined in Caputo type. A necessary condition for occurrence of chaos in VOFFS is obtained. Numerical experiments on the dynamics of the VOFFS with various conditions are given. Based on them, it is shown that the VOFFS has complex dynamical behavior, and the occurrence of chaos depends on the choice of order function. Furthermore, the chaos synchronization of the VOFFS is studied via active control method. Numerical simulations demonstrate that the active control method is effective and simple for synchronizing the VOFFSs with commensurate or incommensurate order functions.

Keywords

EN

variable-order fractional differential equation; financial system; synchronization; chaos; active control method

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 6
• Pages: 824-835

Dates

published

1 - 6 - 2013

online

9 - 10 - 2013

Contributors

author

Yufeng Xu

• Department of Applied Mathematics, School of Mathematics and Statistics, Central South University, Hunan, 410083, Changsha, People’s Republic of China

author

Zhimin He

• Department of Applied Mathematics, School of Mathematics and Statistics, Central South University, Hunan, 410083, Changsha, People’s Republic of China

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Identifiers

DOI

10.2478/s11534-013-0237-x