Linear Chaos

• Κύριοι συγγραφείς: Grosse-Erdmann, Karl-G (Συγγραφέας), Peris Manguillot, Alfred (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2011.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Functional analysis.; Operator theory.; Dynamical Systems and Ergodic Theory.; Functional Analysis.; Operator Theory.

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...

Πίνακας περιεχομένων:

• 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.