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On the definitions of attractors

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Iteration Theory and its Functional Equations

Part of the book series: Lecture Notes in Mathematics ((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.

Presented by M.Cosnard

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Author information

Authors and Affiliations

  1. Laboratoire TIM3, Université de Grenoble, BP 68, F-38402, Saint Martin d'Heres

    M. Cosnard & J. Demongeot

Authors
  1. M. Cosnard
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  2. J. Demongeot
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Editor information

Roman Liedl Ludwig Reich György Targonski

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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

  • eBook Packages: Springer Book Archive

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