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This Book is in Good Condition. Clean Copy With Light Amount of Wear. 100% Guaranteed. Summary: Matrices and linear dynamical systems: Autonomous linear differential and difference equations Linear dynamical systems in $\mathbb{R}^d$ Chain transitivity for dynamical systems Linear systems in projective space Linear systems on Grassmannians Time-varying matrices and linear skew product systems: Lyapunov exponents and linear skew product systems Periodic linear and differential and difference equations Morse decompositions of dynamical systems Topological linear flows Tools from ergodic theory Random linear dynamical systems Bibliography Index. Bookseller Inventory #

**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 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. 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.

**About the Author:**
Fritz Colonius , Universitat Augsburg, Germany. Wolfgang Kliemann , Iowa State University, Ames, IA, USA.

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**Book Description **American Mathematical Society. Hardcover. Book Condition: Good. 0821883194 Clean boards in excellent condition. Firm binding. Unmarked interior. Library stamp on top edge of pages ends. No other library marks. Bookseller Inventory # SKU29241

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**Book Description **Book Condition: New. Depending on your location, this item may ship from the US or UK. Bookseller Inventory # 97808218831980000000

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**Book Description **Book Condition: New. Bookseller Inventory # 22090351-n

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**Book Description **American Mathematical Society, United States, 2014. Hardback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAU9780821883198

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American Mathematical Society 2014-10-30, Providence, Rhode Island
(2014)

ISBN 10: 0821883194
ISBN 13: 9780821883198

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**Book Description **American Mathematical Society 2014-10-30, Providence, Rhode Island, 2014. hardback. Book Condition: New. Bookseller Inventory # 9780821883198

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Published by
American Mathematical Society
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ISBN 10: 0821883194
ISBN 13: 9780821883198

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**Book Description **American Mathematical Society, 2014. HRD. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # BB-9780821883198

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Published by
American Mathematical Society, United States
(2014)

ISBN 10: 0821883194
ISBN 13: 9780821883198

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**Book Description **American Mathematical Society, United States, 2014. Hardback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAU9780821883198

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Published by
American Mathematical Society

ISBN 10: 0821883194
ISBN 13: 9780821883198

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**Book Description **American Mathematical Society. Hardback. Book Condition: new. BRAND NEW, Dynamical Systems and Linear Algebra, Fritz Colonius, Wolfgang Kliemann, 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. Bookseller Inventory # B9780821883198

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Published by
American Mathematical Society
(2014)

ISBN 10: 0821883194
ISBN 13: 9780821883198

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**Book Description **American Mathematical Society, 2014. Book Condition: New. book. Bookseller Inventory # ria9780821883198_rkm

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Published by
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ISBN 13: 9780821883198

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**Book Description **American Mathematical Society, 2014. Hardcover. Book Condition: Very Good. Great condition with minimal wear, aging, or shelf wear. Bookseller Inventory # P020821883194

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