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Topological Dimension and Dynamical Systems
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Pages: 239
Authors: Michel Coornaert
Categories: Mathematics
Type: BOOK - Published: 2015-06-20 - Publisher: Springer

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Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dyna
Dimension Groups and Dynamical Systems
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Authors: Fabien Durand
Categories: Mathematics
Type: BOOK - Published: 2022-02-03 - Publisher: Cambridge University Press

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This is the first self-contained exposition of the connections between symbolic dynamical systems, dimension groups and Bratteli diagrams.
Dimension Theory in Dynamical Systems
Language: en
Pages: 633
Authors: Yakov B. Pesin
Categories: Mathematics
Type: BOOK - Published: 2008-04-15 - Publisher: University of Chicago Press

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The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for their beauti
Dynamical Systems on 2- and 3-Manifolds
Language: en
Pages: 314
Authors: Viacheslav Z. Grines
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Type: BOOK - Published: 2016-11-11 - Publisher: Springer

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This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.The t
Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
Language: en
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Authors: Nikolay Kuznetsov
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Type: BOOK - Published: 2020-07-02 - Publisher: Springer Nature

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This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractor