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Invariant Manifolds for Physical and Chemical Kinetics pp 419–456Cite as

Dimension of Attractors Estimation

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Part of the book series: Lecture Notes in Physics ((LNP,volume 660))

Abstract

How can we prove that all the attractors of an infinite-dimensional system belong to a finite-dimensional manifold? How can we estimate the dimensions of attractor? There exist two methods to obtain such estimations.

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Authors and Affiliations

  1. Multidisciplinary Research Institute 213 Department of Mathematics, University of Leicester, University Road, LE1 7RH, Leicester, United Kingdom

    Alexander N. Gorban

  2. Institute of Computational Modeling, Russian Academy of Sciences, 660036, Krasnoyarsk, Russia

    Alexander N. Gorban

  3. Institut für Energietechnik, Clausiusstrasse 33 ETH Zentrum, CLT A 6, 8092, Zürich, Switzerland

    Ilya V. Karlin

  4. Institute of Computational Modeling, Russian Academy of Sciences, 660036, Krasnoyarsk, Russia

    Ilya V. Karlin

Authors
  1. Alexander N. Gorban
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  2. Ilya V. Karlin
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N. Gorban, A., V. Karlin, I. Dimension of Attractors Estimation. In: Invariant Manifolds for Physical and Chemical Kinetics. Lecture Notes in Physics, vol 660. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31531-5_14

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  • DOI: https://doi.org/10.1007/978-3-540-31531-5_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22684-0

  • Online ISBN: 978-3-540-31531-5

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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