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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Grosse-Erdmann, Karl-G (Author), Peris Manguillot, Alfred (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: London : Springer London : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Universitext,
Subjects:
Dynamical systems.
Functional analysis.
Operator theory.
Dynamical Systems.
Functional Analysis.
Operator Theory.
Online Access:Texto Completo
Table of Contents:
  • 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.

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