Dynamical systems and linear algebra (Record no. 1648)

000 -LEADER
fixed length control field 01950nam a2200217Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240927150048.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180205s9999 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470437299
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA184.2
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Fritz Colonius
245 ## - TITLE STATEMENT
Title Dynamical systems and linear algebra
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. [c2014]
Place of publication, distribution, etc. Rhode Island:
300 ## - Physical Description
Pages: 284 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Part 1. Matrices and linear dynamical systems<br/>Chapter 1. Autonomous linear differential and difference equations<br/>Chapter 2. Linear dynamical systems in Rd<br/>Chapter 3. Chain transitivity for dynamical systems<br/>Chapter 4. Linear systems in projective space<br/>Chapter 5. Linear systems on Grassmannians<br/><br/>Part 2. Time-varying matrices and linear skew product systems<br/>Chapter 6. Lyapunov exponents and linear skew product systems<br/>Chapter 7. Periodic linear and differential and difference equations<br/>Chapter 8. Morse decompositions of dynamical systems<br/>Chapter 9. Topological linear flows<br/>Chapter 10. Tools from ergodic theory<br/>Chapter 11. Random linear dynamical systems<br/>
520 ## - SUMMARY, ETC.
Summary, etc. This book provides an introduction to the interplay between linear algebra and dynamical systems in continuous time and in discrete time. It first reviews the autonomous case for one matrix A via induced dynamical systems in Rd and on Grassmannian manifolds. Then the main nonautonomous approaches are presented for which the time dependency of A(t) is given via skew-product flows using periodicity, or topological (chain recurrence) or ergodic properties (invariant measures). The authors develop generalizations of (real parts of) eigenvalues and eigenspaces as a starting point for a linear algebra for classes of time-varying linear systems, namely periodic, random, and perturbed (or controlled) systems. --- summary provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Wolfgang Kliemann
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 4 01/18/2018 QA184.2 00908 Book