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Dynamical Systems Generated by Linear Maps

Gebonden Engels 2014 2e druk 9783319082271
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The book deals with dynamical systems, generated by linear mappings of finite dimensional spaces and their applications. These systems have a relatively simple structure from the point of view of the modern dynamical systems theory. However, for the dynamical systems of this sort, it is possible to obtain explicit answers to specific questions being useful in applications.

The considered problems are natural and look rather simple, but in reality in the course of investigation, they confront users with plenty of subtle questions and their detailed analysis needs a substantial effort.

The problems arising are related to linear algebra and dynamical systems theory, and therefore, the book can be considered as a natural amplification, refinement and supplement to linear algebra and dynamical systems theory textbooks.

Specificaties

ISBN13:9783319082271
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:203
Uitgever:Springer International Publishing
Druk:2

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Inhoudsopgave

Introduction.- Vector trajectory.- The Jordan basis and special subspaces.- Representation of the vector trajectory.- The structures related to the principal term of the vector Trajectory.- The asymptotic behavior of vector trajectories and trajectories of one-dimensional subspaces.- The geometric approach.- The geometric approach: an operator with one point spectrum.- The convergence of a subspace trajectory for an arbitrary operator.- The applications to weighted shift operators.- The spectrum of weighted shift operator.- The subtle spectral properties.- The weighted shift operators in spaces of vector functions.

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€ 60,99
Levertijd ongeveer 9 werkdagen
Gratis verzonden

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        Dynamical Systems Generated by Linear Maps