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The Dimension of the Attractor

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Dynamics in Infinite Dimensions

Part of the book series: Applied Mathematical Sciences ((AMS,volume 47))

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Abstract

The purpose of this section is to present results on the “size” of the attractor. This will be given in terms of limit capacity and Hausdorff dimension. The principal results are applicable not only to RFDE but also to some of the abstract dynamical systems considered in Section 2.

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© 2002 Springer Science+Business Media New York

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Hale, J.K., Magalhães, L.T., Oliva, W.M. (2002). The Dimension of the Attractor. In: Dynamics in Infinite Dimensions. Applied Mathematical Sciences, vol 47. Springer, New York, NY. https://doi.org/10.1007/0-387-22896-9_4

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  • DOI: https://doi.org/10.1007/0-387-22896-9_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3012-5

  • Online ISBN: 978-0-387-22896-9

  • eBook Packages: Springer Book Archive

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