Structures in Dynamics: Finite Dimensional Deterministic Studies (Studies in Mathematical Physics) - Softcover

Broer, H.W.; Dumortier, F.; Van Strien, S.J.; Takens, F.

Softcover

ISBN 10: 0444892583 ISBN 13: 9780444892584

Publisher: North Holland, 1991

Synopsis

The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account.

Presenting the contents of its authors' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs.

All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.

About this title

Review

This is a good and instructive book about non-linear dynamics.
Australian and New Zealand Physicist

Edition details

• Publisher: North Holland
• Publication date: 1991
• ISBN 10: 0444892583
• ISBN 13: 9780444892584
• Binding: Paperback
• Language: English
• Number of pages: 322