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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 980578, 16 pages
http://dx.doi.org/10.1155/2013/980578
Research Article

Hyperchaos Numerical Simulation and Control in a 4D Hyperchaotic System

College of Management and Economics, Tianjin University, Tianjin 300072, China

Received 15 May 2013; Revised 29 July 2013; Accepted 19 August 2013

Academic Editor: Oswaldo Luiz do Valle Costa

Copyright © 2013 Junhai Ma and Yujing Yang. 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 hyperchaotic system is introduced, and the complex dynamical behaviors of such system are investigated by means of numerical simulations. The bifurcation diagrams, Lyapunov exponents, hyperchaotic attractors, the power spectrums, and time charts are mapped out through the theory analysis and dynamic simulations. The chaotic and hyper-chaotic attractors exist and alter over a wide range of parameters according to the variety of Lyapunov exponents and bifurcation diagrams. Furthermore, linear feedback controllers are designed for stabilizing the hyperchaos to the unstable equilibrium points; thus, we achieve the goal of a second control which is more useful in application.