Normal Forms, Bifurcations and Finiteness Problems in Differential Equations

Yulij Ilyashenko

ISBN 10: 1402019297 / ISBN 13: 9781402019296

Published by Springer Netherlands, Springer Netherlands Feb 2004, 2004

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -A number of recent significant developments in the theory of differential equations are presented in an elementary fashion, many of which are scattered throughout the literature and have not previously appeared in book form, the common denominator being the theory of planar vector fields (real or complex). A second common feature is the study of bifurcations of dynamical systems. Moreover, the book links fields that have developed independently and signposts problems that are likely to become significant in the future.The following subjects are covered: new tools for local and global properties of systems and families of systems, nonlocal bifurcations, finiteness properties of Pfaffian functions and of differential equations, geometric interpretation of the Stokes phenomena, analytic theory of ordinary differential equations and complex foliations, applications to Hilbert's 16th problem.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 544 pp. Englisch.

Seller Inventory # 9781402019296

Bibliographic Details

• Title: Normal Forms, Bifurcations and Finiteness Problems in Differential Equations
• Publisher: Springer Netherlands, Springer Netherlands Feb 2004
• Publication Date: 2004
• Language: English
• ISBN 10: 1402019297
• ISBN 13: 9781402019296
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 233W x 155H x 30D millimeters 233 millimeters width by 155 millimeters height by 30 millimeters depth
• Weight: 808 grams

About this title

Synopsis

A number of recent significant developments in the theory of differential equations are presented in an elementary fashion, many of which are scattered throughout the literature and have not previously appeared in book form, the common denominator being the theory of planar vector fields (real or complex). A second common feature is the study of bifurcations of dynamical systems. Moreover, the book links fields that have developed independently and signposts problems that are likely to become significant in the future.
The following subjects are covered: new tools for local and global properties of systems and families of systems, nonlocal bifurcations, finiteness properties of Pfaffian functions and of differential equations, geometric interpretation of the Stokes phenomena, analytic theory of ordinary differential equations and complex foliations, applications to Hilbert's 16^th problem.