Dynamic Characteristics Analysis and Chaotic Synchronization of Fractional Order Financial Dynamic System

Author:

Liu Xiaoshan,Dong Jun,Han Liang,Ma Hu

Abstract

Abstract The equations of time-delay fractional order financial dynamic system are studied. Fractional calculus, as the expansion of the corresponding integer parts, has more complex definition and update laws. It is found that modeling by fractional-order differential equation in some nature phenomenon and engineering field can be consistent with essentiality of the phenomenon and matters, such as in mathematical modeling of viscoelastic materials, electromagnetic wave and other fields. Moreover, there exist more complex dynamical behaviors in fractional-order dynamical system than in integral-order one, and it has more preferable history memory ability. Therefore, it is of theoretical value and practical significance researching the fractional-order nonlinear dynamical systems on the base of the researches on the traditional integral-order nonlinear dynamical system.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference18 articles.

1. Chaotic dynamics of the fractional Lorenz system[J];Grigorenko;Physical Review Letters,2003

2. Chaos in Chen’s system with a fractional order[J];Li;Chaos Solitons & Fractals,2004

3. Chaos In A Fractional Order Chua’s System;Hartley;IEEE Transactions on Circuits and Systems I,1995

4. Differential equations of fractional order [J];Bhalekar;Journal of Fractional Calculus and Applications,2011

5. Daftardar-Gejji, Fractional ordered Liu system with time-delay [J];S.Bhalekar;Communications in Nonlinear Science and Numerical Simulation,2010

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3