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Are there chaotic maps in the sphere?

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  • Bessa, Mário

Abstract

Two of the most popular notions of chaoticity are the one due to Robert Devaney and the one that assumes positive Lyapunov exponents. In this note we discuss the coexistence of both definitions for conservative discrete dynamical systems in the two-sphere and with respect to the C1-generic point of view.

Suggested Citation

  • Bessa, Mário, 2009. "Are there chaotic maps in the sphere?," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 235-237.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:235-237
    DOI: 10.1016/j.chaos.2008.11.005
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    References listed on IDEAS

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    1. Wu, Chen & Xu, Zhengjie & Lin, Wei & Ruan, Jiong, 2005. "Stochastic properties in Devaney’s chaos," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1195-1199.
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