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- Title
Analysis and Synchronization of a New Hyperchaotic System with Exponential Term.
- Authors
Li, Shunjie; Wu, Yawen; Zhang, Xuebing
- 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.
- Subjects
LYAPUNOV exponents; SYNCHRONIZATION; STABILITY theory; LYAPUNOV stability; ADAPTIVE control systems
- Publication
Mathematics (2227-7390), 2021, Vol 9, Issue 24, p3281
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math9243281