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2013 | 11 | 6 | 824-835
Article title

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

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Content
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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.
Publisher

Journal
Year
Volume
11
Issue
6
Pages
824-835
Physical description
Dates
published
1 - 6 - 2013
online
9 - 10 - 2013
Contributors
author
  • Department of Applied Mathematics, School of Mathematics and Statistics, Central South University, Hunan, 410083, Changsha, People’s Republic of China, xuyufeng@csu.edu.cn
author
  • Department of Applied Mathematics, School of Mathematics and Statistics, Central South University, Hunan, 410083, Changsha, People’s Republic of China, hezhimin@csu.edu.cn
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0237-x
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