Dynamic analysis and control of a new hyperchaotic finance system

• DOI: 10.1007/s11071-011-0137-9
• Publication Date: 2011-09-06T16:10:57Z
• Authors: Haojie Yu; Guoliang Cai; Yuxiu Li
• Keywords: 0103 physical sciences; 01 natural sciences

In this paper, a new hyperchaotic finance system which is constructed based on a chaotic finance system by adding an additional state variable is presented. The basic dynamical behaviors of this hyperchaotic finance system are investigated, such as the equilibrium, stability, hyperchaotic attractor, Lyapunov exponents, and bifurcation analysis. Furthermore, effective speed feedback controllers and linear feedback controllers are designed for stabilizing hyperchaos to unstable equilibrium points. Numerical simulations are given to illustrate and verify the results.