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Entropy estimation of the Hénon attractor

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  • Matsuoka, Chihiro
  • Hiraide, Koichi

Abstract

The topological entropy of the Hénon attractor is estimated using a function that describes the stable and unstable manifolds of the Hénon map. This function provides an accurate estimate of the length of curves in the attractor. The estimation method presented here can be applied to cases in which the invariant set is not hyperbolic. From the result of the length calculation, we have estimated the topological entropy h as h∼0.49703 for the original parameters a=1.4 and b=0.3 adopted by Hénon.

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  • Matsuoka, Chihiro & Hiraide, Koichi, 2012. "Entropy estimation of the Hénon attractor," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 805-809.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:6:p:805-809
    DOI: 10.1016/j.chaos.2012.02.013
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    Cited by:

    1. Wang, Siyi & Chen, Yongqiang & Mei, Ying & He, Wenping, 2023. "The robustness of driving force signals extracted by slow feature analysis," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

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