Shadowing in Dynamical Systems
This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theor...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1706 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Shadowing in dynamical systems, Sergei Yu. Pilyugin, 1999, Berlin, Springer, 1 vol. (XVI-271 p.), Lecture notes in mathematics, 3-540-66299-5 • Shadowing in Dynamical Systems, Texte imprimé, 9783662212301 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Pilûgin, Sergej Ûr½evič, |d 1947- | |
| 245 | 1 | 0 | |a Shadowing in Dynamical Systems |c Sergei Yu. Pilyugin. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1706 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Shadowing Near an Invariant Set: Basic Definitions. Shadowing Near a Hyperbolic Set for a Diffeomorphism. Shadowing for Mappings of Banach Spaces. Limit Shadowing. Shadowing for Flows -- Topologically Stable, Structurally Stable, and Generic Systems: Shadowing and Topological Stability. Shadowing in Structurally Stable Systems. Shadowing in Two-Dimensional Diffeomorphisms. C0-Genericity of Shadowing for Homeomorphisms -- Systems with Special Structure: One-Dimensional Systems. Linear and Linearly Induced Systems. Lattice Systems. Global Attractors for Evolution Systems -- Numerical Applications of Shadowing: Finite Shadowing. Periodic Shadowing for Flows. Approximation of Spectral Characteristics. Approximation of the Morse Spectrum. Discretizations of PDEs -- References -- Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods. | ||
| 650 | |a Équations différentielles |x Solutions numériques | ||
| 650 | |a Systèmes dynamiques | ||
| 650 | |a Dynamique différentiable | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 776 | 0 | |0 054180236 |t Shadowing in dynamical systems |f Sergei Yu. Pilyugin |d 1999 |c Berlin |n Springer |p 1 vol. (XVI-271 p.) |s Lecture notes in mathematics |z 3-540-66299-5 | |
| 776 | 0 | |t Shadowing in Dynamical Systems |b Texte imprimé |z 9783662212301 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0093184 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-KXDTHQGW-Q |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750650346 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0093184 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754000834 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0093184 |z Accès INSA CVL | |
| 997 | |0 971641 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||