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Dynamical Systems Generated by Linear Maps

  • Ćemal B. Dolićanin
  • Anatolij B. Antonevich

Table of contents

  1. Front Matter
    Pages i-xii
  2. Ćemal B. Dolićanin, Anatolij B. Antonevich
    Pages 1-6
  3. Vector Trajectory

    1. Front Matter
      Pages 7-7
    2. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 9-15
    3. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 17-28
    4. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 29-44
  4. Subspace Trajectory

    1. Front Matter
      Pages 61-61
    2. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 63-79
    3. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 81-88
    4. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 89-97
    5. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 99-106
    6. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 107-112
    7. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 113-139
    8. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 141-155
  5. The Applications to Weighted Shift Operators

    1. Front Matter
      Pages 157-157
    2. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 159-176
    3. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 177-184
    4. Ćemal B. Dolićanin, Anatolij B. Antonevich
      Pages 185-199
  6. Back Matter
    Pages 201-203

About this book

Introduction

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.

Keywords

Dynamical Systems Geometric Approach Grassmann Manifold Linear Maps Spectral Properties Subspace Trajectory Vector Trajectory Weighted Shift Operator

Authors and affiliations

  • Ćemal B. Dolićanin
    • 1
  • Anatolij B. Antonevich
    • 2
  1. 1.State University of Novi PazarNovi PazarSerbia
  2. 2.Belarusian State UniversityMinskBelarus

Bibliographic information