From Finite to Infinite Dimensional Dynamical Systems

ISBN 10: 0792369750 / ISBN 13: 9780792369752

Published by Springer, 2001

About this Item

Print on Demand pp. xiii + 215 Illus.

Seller Inventory # 5674432

Bibliographic Details

• Title: From Finite to Infinite Dimensional Dynamical Systems
• Publisher: Springer
• Publication Date: 2001
• Language: English
• ISBN 10: 0792369750
• ISBN 13: 9780792369752
• Binding: Hardcover
• Condition: New

About this title

Synopsis

The lectures in this volume were given as part of a NATO Advanced Study Institute From finite to infinite dimensional dynamical systems held at the Isaac Newton Institute for Mathematical Sciences, Cambridge, U. K. , between 21 August and 1 September 1995. The NATO ASI brought together over sixty young scientists and mathematicians from all over the world to listen to expository talks from leading experts in the field, and also gave them the opportunity to present some of their own results as posters or as lectures. We hope that what they learned both formally and in informal conversations, and the friendships made during their stay in Cambridge, will remain important to them for many years to come. The NATO ASI formed part of a larger six month project at the New­ ton Institute on the same topic, and many of the participants were able to stay on in Cambridge to attend a Euro-Conference and both hear and contribute to the research in progress which was reported. We are grateful to all the bodies which helped fund these enterprises; principally, of course, NATO, but the European Union, CNRS (France) and the London Mathe­ matical Society all made contributions which allowed participants to stay on for the research conference and the Leverhume Trust funded the visits of participants from the former Soviet Union.

Synopsis

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.