Dynamical Systems Linear Algebra by Colonius Fritz (12 results)

Soft cover. 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 d autonomous case for one matrix A via induced dynamical systems in R 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. (jacket).

N.A. Condition: New. ISBN:9781470437299 N.A.

Hardcover. Condition: Very Fine. 1st Edition. No Markings.

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.

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. . . . .

HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.

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.

Condition: New.

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.

Condition: As New. Unread book in perfect condition.

Hardback. Condition: New. New copy - Usually dispatched within 4 working days. 999.

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.