Normal Forms, Bifurcations and Finiteness Problems in Differential Equations by Yulij Ilyashenko

Normal Forms, Bifurcations and Finiteness Problems in Differential Equations by Yulij Ilyashenko

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Normal Forms, Bifurcations and Finiteness Problems in Differential Equations by Yulij Ilyashenko

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.
SKU Unavailable
ISBN 13 9781402019289
ISBN 10 1402019289
Title Normal Forms, Bifurcations and Finiteness Problems in Differential Equations
Author Yulij Ilyashenko
Series Nato Science Series Ii: Mathematics Physics And Chemistry
Condition Unavailable
Binding Type Hardback
Publisher Springer-Verlag New York Inc.
Year published 2004-02-29
Number of pages 513
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable