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Computing Lyapunov exponents of continuous dynamical systems: method of Lyapunov vectors

Author

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  • Lu, Jia
  • Yang, Guolai
  • Oh, Hyounkyun
  • Luo, Albert C.J.

Abstract

This paper proposes a new method for computing the Lyapunov characteristic exponents for continuous dynamical systems. Algorithmic development is discussed and implementation details are outlined. Numerical examples illustrating the effectiveness and accuracy of the method are presented.

Suggested Citation

  • Lu, Jia & Yang, Guolai & Oh, Hyounkyun & Luo, Albert C.J., 2005. "Computing Lyapunov exponents of continuous dynamical systems: method of Lyapunov vectors," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1879-1892.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:5:p:1879-1892
    DOI: 10.1016/j.chaos.2004.07.034
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    Cited by:

    1. Ayati, Moosa & Khaki-Sedigh, Ali, 2009. "Adaptive control of nonlinear in parameters chaotic system via Lyapunov exponents placement," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1980-1986.
    2. Jun, Ma & Wu-Yin, Jin & Yan-Long, Li, 2008. "Chaotic signal-induced dynamics of degenerate optical parametric oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 494-499.

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