Analysis and Synchronization of a New Hyperchaotic System with Exponential Term

Shunjie Li, Yawen Wu and Xuebing Zhang
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Shunjie Li: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Yawen Wu: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Xuebing Zhang: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

Mathematics, 2021, vol. 9, issue 24, 1-16

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.

Keywords: hyperchaotic system; lyapunov exponent; bifurcation diagram; adaptive synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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