Titlebook: Linear Chaos; Karl-G. Grosse-Erdmann,Alfred Peris Manguillot Textbook 2011 Springer-Verlag London Limited 2011 Chaos.Dynamical systems.Hyp

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Dynamics of semigroups, with applications to differential equationst parts, hypercyclic and chaotic semigroups have important applications to partial differential equations and to infinite linear systems of ordinary differential equations. Representative examples are discussed.

支形吊燈

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Hypercyclic subspacess are hypercyclic. Such a subspace is called a hypercyclic subspace. We give two proofs of Montes’ theorem that provides a sufficient condition for the existence of hypercyclic subspaces. The first proof provides an explicit construction via basic sequences, the second one relies on the study of lef

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Common hypercyclic vectorsame space automatically possess common hypercyclic vectors, this is no longer the case for uncountable families. The Common Hypercyclicity Criterion provides a sufficient condition for a (one-parameter) family of operators to admit a common hypercyclic vector. We study, in particular, common hypercy

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Linear dynamics in topological vector spaces introduction to such spaces we revisit many of the results previously obtained in the book and show that they hold in great generality. We also derive dynamical transference principles which allow us to transfer the dynamical properties of operators on F-spaces to operators on general topological v