Infinite-Dimensional Dynamical Systems.: Volume 2, Attractors and Methods /
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical ri...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2018]
|
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the fi rst volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. ContentsDiscrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the first volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. ContentsDiscrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves |
| Beschreibung: | 1 online resource (413 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 3110587262 9783110587265 |
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| 520 | |a This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the fi rst volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. ContentsDiscrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves | ||
| 520 | |a This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the first volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. ContentsDiscrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves | ||
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| author | Guo, Boling Ling, Liming Ma, Yansheng Yang, Hui |
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| contents | Frontmatter -- Preface -- Contents -- 1. Discrete attractor and approximate calculation -- 2. Some properties of global attractor -- 3. Structures of small dissipative dynamical systems -- 4. Existence and stability of solitary waves -- Bibliography -- Index |
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| spelling | Guo, Boling, author. http://id.loc.gov/authorities/names/n2007077855 Infinite-Dimensional Dynamical Systems. Volume 2, Attractors and Methods / Boling Guo, Liming Ling, Yansheng Ma, Hui Yang. Attractors and Methods Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (413 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Includes bibliographical references and index. Frontmatter -- Preface -- Contents -- 1. Discrete attractor and approximate calculation -- 2. Some properties of global attractor -- 3. Structures of small dissipative dynamical systems -- 4. Existence and stability of solitary waves -- Bibliography -- Index This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the fi rst volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. ContentsDiscrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the first volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. ContentsDiscrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves Online resource; title from PDF title page (publisher's Web site, viewed 25. Jul 2018). Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Attractors (Mathematics) http://id.loc.gov/authorities/subjects/sh97005887 Dynamique différentiable. Attracteurs (Mathématiques) MATHEMATICS Applied. bisacsh Attractors (Mathematics) fast Differentiable dynamical systems fast Electronic book. Ling, Liming, author. Ma, Yansheng, author. http://id.loc.gov/authorities/names/no2001036243 Yang, Hui, author. has work: Infinite-dimensional dynamical systems Attractors and methods Volume 2 (Text) https://id.oclc.org/worldcat/entity/E39PCH8QwvgPGChPTvQ6G44mFq https://id.oclc.org/worldcat/ontology/hasWork Print version: 9783110587081 Print version: 9783110586992 |
| spellingShingle | Guo, Boling Ling, Liming Ma, Yansheng Yang, Hui Infinite-Dimensional Dynamical Systems. Frontmatter -- Preface -- Contents -- 1. Discrete attractor and approximate calculation -- 2. Some properties of global attractor -- 3. Structures of small dissipative dynamical systems -- 4. Existence and stability of solitary waves -- Bibliography -- Index Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Attractors (Mathematics) http://id.loc.gov/authorities/subjects/sh97005887 Dynamique différentiable. Attracteurs (Mathématiques) MATHEMATICS Applied. bisacsh Attractors (Mathematics) fast Differentiable dynamical systems fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037882 http://id.loc.gov/authorities/subjects/sh97005887 |
| title | Infinite-Dimensional Dynamical Systems. |
| title_alt | Attractors and Methods Frontmatter -- Preface -- Contents -- 1. Discrete attractor and approximate calculation -- 2. Some properties of global attractor -- 3. Structures of small dissipative dynamical systems -- 4. Existence and stability of solitary waves -- Bibliography -- Index |
| title_auth | Infinite-Dimensional Dynamical Systems. |
| title_exact_search | Infinite-Dimensional Dynamical Systems. |
| title_full | Infinite-Dimensional Dynamical Systems. Volume 2, Attractors and Methods / Boling Guo, Liming Ling, Yansheng Ma, Hui Yang. |
| title_fullStr | Infinite-Dimensional Dynamical Systems. Volume 2, Attractors and Methods / Boling Guo, Liming Ling, Yansheng Ma, Hui Yang. |
| title_full_unstemmed | Infinite-Dimensional Dynamical Systems. Volume 2, Attractors and Methods / Boling Guo, Liming Ling, Yansheng Ma, Hui Yang. |
| title_short | Infinite-Dimensional Dynamical Systems. |
| title_sort | infinite dimensional dynamical systems attractors and methods |
| topic | Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Attractors (Mathematics) http://id.loc.gov/authorities/subjects/sh97005887 Dynamique différentiable. Attracteurs (Mathématiques) MATHEMATICS Applied. bisacsh Attractors (Mathematics) fast Differentiable dynamical systems fast |
| topic_facet | Differentiable dynamical systems. Attractors (Mathematics) Dynamique différentiable. Attracteurs (Mathématiques) MATHEMATICS Applied. Differentiable dynamical systems Electronic book. |
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