Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

Dedicated to Gennady Leonov

Inbunden, Engelska, 2020

Av Nikolay Kuznetsov, Volker Reitmann

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This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dimensional Euclidean spaces or on manifolds.

Produktinformation

Utgivningsdatum2020-07-03
Mått155 x 235 x 36 mm
Vikt1 010 g
FormatInbunden
SpråkEngelska
SerieEmergence, Complexity and Computation
Antal sidor545
FörlagSpringer Nature Switzerland AG
ISBN9783030509866

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“It is interesting and very well written. Mostly, chapters are self-contained and rich of detailed explanations. Many powerful computational tools and algorithms provide a solid numerical background for the study of attractor dimensions. … this book contains advanced material on attractor dimension estimates for dynamical systems. This is definitely suitable for researchers in applied mathematics and computational theory of dynamical systems.” (Mohammad Sajid, zbMATH 1483.37001, 2022)