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Dynamical Systems and Linear Algebra (Graduate Studies in Mathematics)
Fritz Colonius
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Description for Dynamical Systems and Linear Algebra (Graduate Studies in Mathematics)
Hardcover. Series: Graduate Studies in Mathematics. Num Pages: 291 pages. BIC Classification: PBF. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 262 x 195 x 18. Weight in Grams: 696.
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 {R}^d 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 ... Read more
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 {R}^d 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 ... Read more
Product Details
Format
Hardback
Publication date
2014
Publisher
Amer Mathematical Society
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
291
Place of Publication
Providence, United States
ISBN
9780821883198
SKU
V9780821883198
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Fritz Colonius
Fritz Colonius, Universitat Augsburg, Germany. Wolfgang Kliemann, Iowa State University, Ames, IA, USA.
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