Attractor Dimension Estimates for Dynamical Systems: Theory and Computation (Record no. 76768)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03176nam a22005535i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-030-50987-3 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801214812.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 200702s2021 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030509873 |
| -- | 978-3-030-50987-3 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 511.352 |
| 100 1# - AUTHOR NAME | |
| Author | Kuznetsov, Nikolay. |
| 245 10 - TITLE STATEMENT | |
| Title | Attractor Dimension Estimates for Dynamical Systems: Theory and Computation |
| Sub Title | Dedicated to Gennady Leonov / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2021. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIX, 545 p. 34 illus., 10 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Emergence, Complexity and Computation, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Attractors and Lyapunov Functions -- Singular Values, Exterior Calculus and Logarithmic Norms -- Introduction to Dimension Theory. . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. It also discusses stability investigations using estimates based on Lyapunov functions and adapted metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local, global and uniform Lyapunov exponents, and derives analytical formulas for the Lyapunov dimension of the attractors of the Hénon and Lorenz systems. Lastly, the book presents estimates of the topological entropy for general dynamical systems in metric spaces and estimates of the topological dimension for orbit closures of almost periodic solutions to differential equations. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Reitmann, Volker. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-030-50987-3 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2021. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Computational complexity. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear Optics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | System theory. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Computational Complexity. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear Optics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Complex Systems. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2194-7295 ; |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
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