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Synopsis
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 perturbed (or controlled) systems.
The book presents for the first time in one volume a unified approach via Lyapunov exponents to detailed proofs of Floquet theory, of the properties of the Morse spectrum, and of the multiplicative ergodic theorem for products of random matrices. The main tools, chain recurrence and Morse decompositions, as well as classical ergodic theory are introduced in a way that makes the entire material accessible for beginning graduate students.
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About the Author
Fritz Colonius, Universitat Augsburg, Germany.
Wolfgang Kliemann, Iowa State University, Ames, IA, USA.
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Dynamical Systems and Linear Algebra (Graduate Studies in Mathematics)
Published by
American Mathematical Society, Providence, 2014
ISBN 10: 0821883194
ISBN 13: 9780821883198
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Dynamical systems and linear algebra. Graduate studies in mathematics; 158.
Published by
Providence, American Mathematical Society, 2014
ISBN 10: 0821883194
ISBN 13: 9780821883198
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Hardcover. XV, 284 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04823 9780821883198 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2491064
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Dynamical Systems and Linear Algebra (Graduate Studies in Mathematics)
Published by
Amer Mathematical Society, 2014
ISBN 10: 0821883194
ISBN 13: 9780821883198
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Condition: New. 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. . 2014. Hardcover. . . . . Seller Inventory # V9780821883198
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Dynamical Systems and Linear Algebra
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MP-AMM American Mathematical, 2014
ISBN 10: 0821883194
ISBN 13: 9780821883198
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Dynamical Systems and Linear Algebra (Graduate Studies in Mathematics)
Published by
Amer Mathematical Society, 2014
ISBN 10: 0821883194
ISBN 13: 9780821883198
New
Hardcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. 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. . 2014. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821883198
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Dynamical Systems and Linear Algebra
Published by
American Mathematical Society, US, 2014
ISBN 10: 0821883194
ISBN 13: 9780821883198
New
Hardcover
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
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Hardback. Condition: New. 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 perturbed (or controlled) systems.The book presents for the first time in one volume a unified approach via Lyapunov exponents to detailed proofs of Floquet theory, of the properties of the Morse spectrum, and of the multiplicative ergodic theorem for products of random matrices. The main tools, chain recurrence and Morse decompositions, as well as classical ergodic theory are introduced in a way that makes the entire material accessible for beginning graduate students. Seller Inventory # LU-9780821883198
Quantity: 1 available
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Dynamical Systems and Linear Algebra
Published by
American Mathematical Society, 2014
ISBN 10: 0821883194
ISBN 13: 9780821883198
New
Hardcover
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. New copy - Usually dispatched within 4 working days. 999. Seller Inventory # B9780821883198
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Seller Image
Dynamical Systems and Linear Algebra
Published by
American Mathematical Society, US, 2014
ISBN 10: 0821883194
ISBN 13: 9780821883198
New
Hardcover
Seller: Rarewaves.com UK, London, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. 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 perturbed (or controlled) systems.The book presents for the first time in one volume a unified approach via Lyapunov exponents to detailed proofs of Floquet theory, of the properties of the Morse spectrum, and of the multiplicative ergodic theorem for products of random matrices. The main tools, chain recurrence and Morse decompositions, as well as classical ergodic theory are introduced in a way that makes the entire material accessible for beginning graduate students. Seller Inventory # LU-9780821883198
Quantity: 1 available