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Analysis and Synchronization of a New Hyperchaotic System with Exponential Term

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Listed:
  • 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)

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.

Suggested Citation

  • Shunjie Li & Yawen Wu & Xuebing Zhang, 2021. "Analysis and Synchronization of a New Hyperchaotic System with Exponential Term," Mathematics, MDPI, vol. 9(24), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3281-:d:704575
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    References listed on IDEAS

    as
    1. Wang, Xingyuan & Wang, Mingjun, 2008. "A hyperchaos generated from Lorenz system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3751-3758.
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