From Finite to Infinite Dimensional Dynamical Systems: Proceedings of the NATO Advanced Study Institute, Cambridge, UK, 21 August-1 September 1995 (Nato Science Series II:)

Robinson, James; Glendinning, Paul A.

ISBN 10: 0792369769 / ISBN 13: 9780792369769

Editore: Kluwer Academic Publishers, 2001

Riguardo questo articolo

Usually Dispatched within 1-2 Business Days , Buy with confidence , excellent customer service. Codice articolo 0792369769--14

Dati bibliografici

Titolo: From Finite to Infinite Dimensional ...

Casa editrice: Kluwer Academic Publishers

Data di pubblicazione: 2001

Legatura: Paperback

Condizione: New

Descrizione articolo

Riassunto:

The central theme of this book is how ideas familiar from finite dimensional dynamical systems may be used in the study of infinite dimensional dynamical systems, such as partial differential equations.
After an introduction to the study of partial differential equations from the perspective of dynamical systems, some of the ideas are applied to the equations of fluid dynamics and the application of low-dimensional models of turbulence. A discussion of chaos in lattice dynamical systems (for which the spatial dimension is discrete) is followed by the use of such models in biology.
The book provides an introduction to a range of new techniques and applications in dynamics and will interest any graduate student starting work in the area, as well as more experienced scientists and mathematicians keen to extend their knowledge.

Contenuti:

Preface. Introduction; J.C. Robinson, P.A. Glendinning. Spatial correlations and local fluctuations in host-parasite models; M.J. Keeling, D.A. Rand. Lattice dynamical systems; L.A. Bunimovich (assisted by C. Giberti). Attractors and dynamics in partial differential equations; J.K. Hale. Nonlinear dynamics of extended systems; P. Collet. Three lectures on mathematical fluid mechanics; P. Constantin. Low-dimensional models of turbulence; P.J. Holmes, et al.