Analysis on Hopf Bifurcation and Complexity of one Kind Financial System

Qi Zhang; Jun Hai Ma

doi:10.4028/www.scientific.net/AMM.48-49.813

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 48-49Analysis on Hopf Bifurcation and Complexity of one...

Analysis on Hopf Bifurcation and Complexity of one Kind Financial System

Abstract:

From a mathematical model of one kind complicated financial system, we make a dynamic analysis on this kind of system on the basis of studies of scholars both at home and abroad. We find characteristics of various dynamic systems driven by different parameters, and study possible Hopf bifurcation as well as the relationship between Hopf bifurcation and the values of parameters. Besides, we make use of algorithm to analyze complexity of the system. The results of numerical simulation prove that the theory used in the thesis is correct. This study is regarded with good theoretical and practical value.

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Applied Mechanics and Materials (Volumes 48-49)

Pages:

813-816

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.48-49.813

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Online since:

February 2011

Authors:

Qi Zhang, Jun Hai Ma

Keywords:

ApEn Method, Chaos, Complicated Financial System, Hopf Bifurcation, Saddle, Sink

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