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Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System

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  • Yin Li
  • Yulin Zhao
  • Zheng-an Yao

Abstract

This paper is devoted to investigate the tracking control and generalized synchronization of the hyperchaotic Lorenz-Stenflo system using the tracking model and the feedback control scheme. We suppress the chaos to unstable equilibrium via three feedback methods, and we achieve three globally generalized synchronization controls. Novel tracking controllers with corresponding parameter update laws are designed such that the Lorenz-Stenflo systems can be synchronized asymptotically. Moreover, numerical simulations are presented to demonstrate the effectiveness, through the contrast between the orbits before being stabilized and the ones after being stabilized.

Suggested Citation

  • Yin Li & Yulin Zhao & Zheng-an Yao, 2013. "Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-18, December.
    • Handle: RePEc:hin:jnlaaa:515106
    DOI: 10.1155/2013/515106
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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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