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Tubes in dynamical systems

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  • Charles Li, Y.

Abstract

Important concepts concerning tubes in dynamical systems are defined in details. In the cases of a homoclinic tube and a heteroclinically tubular cycle in autonomous systems, existence of tubular chaos is established. The main goal of this article is to stress the importance of tubes in high dimensional dynamical systems.

Suggested Citation

  • Charles Li, Y., 2008. "Tubes in dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1215-1224.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:5:p:1215-1224
    DOI: 10.1016/j.chaos.2006.07.036
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    References listed on IDEAS

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    1. Yanguang (Charles) Li, 2003. "Chaos and shadowing around a homoclinic tube," Abstract and Applied Analysis, Hindawi, vol. 2003, pages 1-9, January.
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