Nonlinear dynamics and chaos in a fractional-order financial system

被引：361
|
作者：
Chen, Wei-Ching [1 ]
机构：
[1] Yuanpei Univ, Dept Informat Management, Hsinchu, Taiwan
来源：
CHAOS SOLITONS & FRACTALS | 2008年 / 36卷 / 05期
关键词：
D O I：
10.1016/j.chaos.2006.07.051
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This study examines the two most attractive characteristics, memory and chaos, in simulations of financial systems. A fractional-order financial system is proposed in this study. It is a generalization of a dynamic financial model recently reported in the literature. The fractional-order financial system displays many interesting dynamic behaviors, such as fixed points, periodic motions, and chaotic motions. It has been found that chaos exists in fractional-order financial systems with orders less than 3. In this study, the lowest order at which this system yielded chaos was 2.35. Period doubling and intermittency routes to chaos in the fractional-order financial system were found. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1305 / 1314
页数：10
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