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On the definitions of attractors

Part of the Lecture Notes in Mathematics book series (LNM,volume 1163)

Abstract

We introduce the notion of attractor and present its historical evolution. Then we show that previous definitions are too stringent. We present two equivalent definitions of attractors, show that in this case strange attractors are indeed attractors and give some properties.

Keywords

  • Strange Attractor
  • Morse Index
  • Strong Attractor
  • Previous Definition
  • Weak Attractor

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Presented by M.Cosnard

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© 1985 Springer-Verlag

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Cosnard, M., Demongeot, J. (1985). On the definitions of attractors. In: Liedl, R., Reich, L., Targonski, G. (eds) Iteration Theory and its Functional Equations. Lecture Notes in Mathematics, vol 1163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076414

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  • DOI: https://doi.org/10.1007/BFb0076414

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16067-0

  • Online ISBN: 978-3-540-39749-6

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