Affiliation:
1. School of Liberal Arts and Sciences, North China Institute of Aerospace Engineering, Langfang 065000, China
2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Abstract
In this research, we use the double-delayed feedback control (DDFC) method in order to control chaos in a finance system. Taking delays as parameters, the dynamic behavior of the system is investigated. Firstly, we study the local stability of equilibrium and the existence of local Hopf bifurcations. It can find that the delays can make chaos disappear and generate a stable equilibrium or periodic solution, which means the effectiveness of DDFC method. By using the normal form theory and center manifold argument, one derives the explicit algorithm for determining the properties of bifurcation. In addition, we also apply some mathematical methods (stability crossing curves) to show the stability changes of the financial system in two parameters’ τ1,τ2 plane. Finally, we give some numerical simulations by Matlab Microsoft to show the validity of theoretical analyses.
Funder
National Natural Science Foundation of China
Subject
Multidisciplinary,General Computer Science
Cited by
2 articles.
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