Admissibility and Hyperbolicity
This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are discussed with highlights to applications. The dedicated readership includes researchers and graduate students specializing in differential equations...
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| Hlavní autor: | |
|---|---|
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer International Publishing,
2018.
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| Vydání: | 1st ed. 2018. |
| Edice: | SpringerBriefs in Mathematics,
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| Témata: | |
| ISBN: | 9783319901107 |
| ISSN: | 2191-8198 |
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| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 003 | SK-BrCVT | ||
| 005 | 20220618115006.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 180502s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783319901107 | ||
| 024 | 7 | |a 10.1007/978-3-319-90110-7 |2 doi | |
| 035 | |a CVTIDW06437 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Barreira, Luís. |4 aut | |
| 245 | 1 | 0 | |a Admissibility and Hyperbolicity |h [electronic resource] / |c by Luís Barreira, Davor Dragičević, Claudia Valls. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a IX, 145 p. |b online resource. | ||
| 490 | 1 | |a SpringerBriefs in Mathematics, |x 2191-8198 | |
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |a 1. Introduction -- 2. Exponential Contractions -- 3. Exponential Dichotomies: Discrete Time -- 4. Exponential Dichotomies: Continuous Time -- 5. Admissibility: Further Developments -- 6. Applications of Admissibility -- References -- Index. | |
| 516 | |a text file PDF | ||
| 520 | |a This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are discussed with highlights to applications. The dedicated readership includes researchers and graduate students specializing in differential equations and dynamical systems (with emphasis on hyperbolicity) who wish to have a broad view of the topic and working knowledge of its techniques. The book may also be used as a basis for appropriate graduate courses on hyperbolicity; the pointers and references given to further research will be particularly useful. The material is divided into three parts: the core of the theory, recent developments, and applications. The first part pragmatically covers the relation between admissibility and hyperbolicity, starting with the simpler case of exponential contractions. It also considers exponential dichotomies, both for discrete and continuous time, and establishes corresponding results building on the arguments for exponential contractions. The second part considers various extensions of the former results, including a general approach to the construction of admissible spaces and the study of nonuniform exponential behavior. Applications of the theory to the robustness of an exponential dichotomy, the characterization of hyperbolic sets in terms of admissibility, the relation between shadowing and structural stability, and the characterization of hyperbolicity in terms of Lyapunov sequences are given in the final part. . | ||
| 650 | 0 | |a Dynamics. | |
| 650 | 0 | |a Ergodic theory. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Difference equations. | |
| 650 | 0 | |a Functional equations. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-90110-7 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE03717 | ||
| 919 | |a 978-3-319-90110-7 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 272415 |d 272415 | ||