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Analysis of a Generalized Lorenz–Stenflo Equation

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  • Fuchen Zhang
  • Rui Chen
  • Xiusu Chen

Abstract

Although the globally attractive sets of a hyperchaotic system have important applications in the fields of engineering, science, and technology, it is often a difficult task for the researchers to obtain the globally attractive set of the hyperchaotic systems due to the complexity of the hyperchaotic systems. Therefore, we will study the globally attractive set of a generalized hyperchaotic Lorenz–Stenflo system describing the evolution of finite amplitude acoustic gravity waves in a rotating atmosphere in this paper. Based on Lyapunov-like functional approach combining some simple inequalities, we derive the globally attractive set of this system with its parameters. The effectiveness of the proposed methods is illustrated via numerical examples.

Suggested Citation

  • Fuchen Zhang & Rui Chen & Xiusu Chen, 2017. "Analysis of a Generalized Lorenz–Stenflo Equation," Complexity, Hindawi, vol. 2017, pages 1-6, December.
    • Handle: RePEc:hin:complx:7520590
    DOI: 10.1155/2017/7520590
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    References listed on IDEAS

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    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.
    2. Leonov, G.A. & Kuznetsov, N.V., 2015. "On differences and similarities in the analysis of Lorenz, Chen, and Lu systems," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 334-343.
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    Cited by:

    1. Chih-Hsueh Lin & Guo-Hsin Hu & Jun-Juh Yan, 2020. "Chaos Suppression in Uncertain Generalized Lorenz–Stenflo Systems via a Single Rippling Controller with Input Nonlinearity," Mathematics, MDPI, vol. 8(3), pages 1-12, March.

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