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The Scientific World Journal
Volume 2014 (2014), Article ID 983034, 11 pages
http://dx.doi.org/10.1155/2014/983034
Research Article

Anticontrol of Hopf Bifurcation and Control of Chaos for a Finance System through Washout Filters with Time Delay

Department of Mathematics and Information Science, Zhoukou Normal University, Zhoukou, Henan 466001, China

Received 18 December 2013; Accepted 3 March 2014; Published 3 April 2014

Academic Editors: M. Han and Y. Xia

Copyright © 2014 Huitao Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A controlled model for a financial system through washout-filter-aided dynamical feedback control laws is developed, the problem of anticontrol of Hopf bifurcation from the steady state is studied, and the existence, stability, and direction of bifurcated periodic solutions are discussed in detail. The obtained results show that the delay on price index has great influences on the financial system, which can be applied to suppress or avoid the chaos phenomenon appearing in the financial system.