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Normal Forms, Bifurcations and Finiteness Problems in Differential Equations (NATO Science Series II: Mathematics, Physics and Chemistry, 137) - Hardcover

Book 82 of 241: NATO Science Series II: Mathematics, Physics and Chemistry
 
9781402019289: Normal Forms, Bifurcations and Finiteness Problems in Differential Equations (NATO Science Series II: Mathematics, Physics and Chemistry, 137)
Hardcover
ISBN 10: 1402019289 ISBN 13: 9781402019289
Publisher: Springer, 2004

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 16th problem.

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
2004
Language
English
ISBN 10 
1402019289
ISBN 13 
9781402019289
Binding
Hardcover
Number of pages
537
Editor
Ilyashenko Yulij, Rousseau Christiane