Linear chaos
It is commonly believed that chaos is linked to non-linearity, however many (even quite natural) linear dynamical systems exhibit chaotic behavior. The study of these systems is a young and remarkably active field of research, which has seen many landmark results over the past two decades. Linear dy...
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| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2011. |
| Serier: | Universitext
|
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Description d'après consultation du 16 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Linear chaos, Karl-G. Grosse-Erdmann, Alfred Peris Manguillot, London, Springer, 2011, 1 vol. (XI-386 p.), Universitext, 978-1-447-12169-5 • Linear chaos, Karl-G. Grosse-Erdmann, Alfred Peris Manguillot, London, Springer, 2011, 1 vol. (XI-386 p.), Universitext, 978-1-447-12169-5 • Linear Chaos, Texte imprimé, 9781447121718 • Linear Chaos, Texte imprimé, 9781447174646 |
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| 084 | |a 47-01. 2010 | ||
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| 100 | 1 | |a Grosse-Erdmann, Karl-Goswin, |d 1959- | |
| 245 | 1 | 0 | |a Linear chaos |c Karl-G. Grosse-Erdmann, Alfred Peris Manguillot. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a London : |b Springer London. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Description d'après consultation du 16 mai 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 367-378 Index p. 379-386 | ||
| 505 | 1 | |a Topological dynamics Hypercyclic and chaotic operators The Hypercyclicity Criterion Classes of hypercyclic and chaotic operators Necessary conditions for hypercyclicity and chaos Connectedness arguments in linear dynamics Dynamics of semigroups, with applications to differential equations Existence of hypercyclic operators Frequently hypercyclic operators Hypercyclic subspaces Common hypercyclic vectors Linear dynamics in topological vector spaces | |
| 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 It is commonly believed that chaos is linked to non-linearity, however many (even quite natural) linear dynamical systems exhibit chaotic behavior. The study of these systems is a young and remarkably active field of research, which has seen many landmark results over the past two decades. Linear dynamics lies at the crossroads of several areas of mathematics including operator theory, complex analysis, ergodic theory and partial differential equations. At the same time its basic ideas can be easily understood by a wide audience. Written by two renowned specialists, Linear Chaos provides a welcome introduction to this theory. Split into two parts, part I presents a self-contained introduction to the dynamics of linear operators, while part II covers selected, largely independent topics from linear dynamics. More than 350 exercises and many illustrations are included, and each chapter contains a further Sources and Comments section. The only prerequisites are a familiarity with metric spaces, the basic theory of Hilbert and Banach spaces and fundamentals of complex analysis. More advanced tools, only needed occasionally, are provided in two appendices. A self-contained exposition, this book will be suitable for self-study and will appeal to advanced undergraduate or beginning graduate students. It will also be of use to researchers in other areas of mathematics such as partial differential equations, dynamical systems and ergodic theory | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Chaos (théorie des systèmes) | ||
| 650 | |a Analyse fonctionnelle | ||
| 700 | 1 | |a Peris Manguillot, Alfred. |4 aut | |
| 700 | 1 | |a Peris Manguillot, Alfred. |4 aut | |
| 776 | 0 | |0 155851284 |t Linear chaos |f Karl-G. Grosse-Erdmann, Alfred Peris Manguillot |c London |n Springer |d 2011 |p 1 vol. (XI-386 p.) |s Universitext |z 978-1-447-12169-5 | |
| 776 | 0 | |0 155851284 |t Linear chaos |f Karl-G. Grosse-Erdmann, Alfred Peris Manguillot |c London |n Springer |d 2011 |p 1 vol. (XI-386 p.) |s Universitext |z 978-1-447-12169-5 | |
| 776 | 0 | |t Linear Chaos |b Texte imprimé |z 9781447121718 | |
| 776 | 0 | |t Linear Chaos |b Texte imprimé |z 9781447174646 | |
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