Dynamical Systems Generated by Linear Maps
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Beschreibung
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.
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.
Provides explicit answers to specific questions being useful in applications Investigates dynamical system given by linear mapping Offers a natural amplification, refinement and supplement to linear algebra and dynamical systems theory textbooks Includes supplementary material: sn.pub/extras
Autor*in
Ćemal B. Dolićanin
Themen in »Dynamical Systems Generated by Linear Maps«
Dynamical Systems Geometric Approach Grassmann Manifold Linear Maps Spectral Properties Subspace Trajectory Vector Trajectory Weighted Shift Operator complexity
Stimmen zu »Dynamical Systems Generated by Linear Maps«
From the book reviews:
“This is an excellent book that can be used for a third or fourth year graduate course in dynamical systems or a related field. … there is a good solid bibliography and pertinent references (both books and journal articles) making the book ideal for a seminar type presentation where students participate in the course with presentation of papers.” (Russell Jay Hendel, MAA Reviews, January, 2015)()