Linear chaos /
Grosse-Erdmann, Karl-Goswin.
Linear chaos / Karl-G. Grosse-Erdmann, Alfred Peris Manguillot. - London : Springer, 2011. - xi, 386 pages : illustrations ; 23 cm. - Universitext, 0172-5939 .
Includes bibliographical references and index.
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
9781447121695
Chaotic behavior in systems.
Linear systems.
Linear operators
Operator theory
Differentiable dynamical systems
23
Linear chaos / Karl-G. Grosse-Erdmann, Alfred Peris Manguillot. - London : Springer, 2011. - xi, 386 pages : illustrations ; 23 cm. - Universitext, 0172-5939 .
Includes bibliographical references and index.
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
9781447121695
Chaotic behavior in systems.
Linear systems.
Linear operators
Operator theory
Differentiable dynamical systems
23