Linear chaos / Karl-G. Grosse-Erdmann, Alfred Peris Manguillot.Material type: TextLanguage: English Series: UniversitextCopyright date: London : Springer, 2011Edition: First EditionDescription: xi, 386 pages : illustrations ; 23 cmISBN: 9781447121695Subject(s): Chaotic behavior in systems | Linear systems | Linear operators | Operator theory | Differentiable dynamical systemsDDC classification: 23
|Item type||Current library||Call number||Copy number||Status||Date due||Barcode||Item holds|
|Libro académico||Biblioteca del Campus||003.857 G8785l 2011 (Browse shelf (Opens below))||Ej. 1||Available||002825|
|Libro académico||Biblioteca del Campus||003.857 G8785l 2011 (Browse shelf (Opens below))||Ej. 2||Available||002826|
|Libro académico||Biblioteca del Campus||003.857 G8785l 2011 (Browse shelf (Opens below))||Ej. 3||Available||002827|
Includes bibliographical references.
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 -- Hypercyplic subspaces -- Common hypercyplic vectors -- Linear dynamics in topological vector spaces.
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