Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay

被引：272
|
作者：
Wang Zhen [2 ,3 ]
Huang Xia [1 ]
Shi Guodong [4 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Informat & Elect Engn, Qingdao 266510, Peoples R China
[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Peoples R China
[4] Changzhou Univ, Sch Informat Sci & Engn, Changzhou 213164, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Chaos; Delay; Fractional order financial system; BIFURCATION TOPOLOGICAL-STRUCTURE; NEUTRAL DIFFERENTIAL-EQUATIONS; GLOBAL COMPLICATED CHARACTER; BUSINESS-CYCLE MODEL; IS-LM MODEL; STABILITY ANALYSIS; EXISTENCE; ATTRACTORS; UNIQUENESS; CRISIS;
D O I：
10.1016/j.camwa.2011.04.057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a delayed fractional order financial system is proposed and the complex dynamical behaviors of such a system are discussed by numerical simulations. A great variety of interesting dynamical behaviors of such a system including single-periodic, multiple-periodic, and chaotic motions are displayed. In particular, the effect of time delay on the chaotic behavior is investigated, it is found that an approximate time delay can enhance or suppress the emergence of chaos. Meanwhile, corresponding to different values of delay, the lowest orders for chaos to exist in the delayed fractional order financial systems are determined, respectively. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1531 / 1539
页数：9
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