Dynamical Systems Generated by Linear Maps [electronic resource] /
Dolićanin, Ćemal B.author.
Antonevich, Anatolij B.author.
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.
Description based upon print version of record.
Includes bibliographical references at the end of each chapters.
From the Contents: 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 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.
Dynamics.
Ergodic theory.
Vibration.
Dynamical systems.
Computational complexity.
Dynamical Systems and Ergodic Theory.
Vibration, Dynamical Systems, Control.
Complexity.