Affiliation:
1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Abstract
In this paper, a new four-dimensional hyperchaotic system with an exponential term is presented. The basic dynamical properties and chaotic behavior of the new attractor are analyzed. It can be shown that this system possesses either a line of equilibria or a single one. The existence of hyperchaos is confirmed by its Lyapunov exponents. Moreover, the synchronization problem for the hyperchaotic system is studied. Based on the Lyapunov stability theory, an adaptive control law with two inputs is proposed to achieve the global synchronization. Numerical simulations are given to validate the correctness of the proposed control law.
Funder
National Natural Science Foundation of China
Reference38 articles.
1. Deterministic nonperiodic flow;Lorenz;J. Atmos. Sci.,1963
2. Sparrow, C. (2012). The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors, Springer Science & Business Media.
3. Yet another chaotic attractor;Chen;Int. J. Bifurc. Chaos,1999
4. A new chaotic attractor coined;Chen;Int. J. Bifurc. Chaos,2002
5. Bridge the gap between the Lorenz system and the Chen system;Chen;Int. J. Bifurc. Chaos,2002
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献