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Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem by Robert Roussarie (Paperback, 2013)

About this product

About this product

Product Information

In a coherent, exhaustive and progressive way, this book presents the tools for studying local bifurcations of limit cycles in families of planar vector fields. A systematic introduction is given to such methods as division of an analytic family of functions in its ideal of coefficients, and asymptotic expansion of non-differentiable return maps and desingularisation. The exposition moves from classical analytic geometric methods applied to regular limit periodic sets to more recent tools for singular limit sets. The methods can be applied to theoretical problems such as Hilbert's 16th problem, but also for the purpose of establishing bifurcation diagrams of specific families as well as explicit computations. - - - The book as a whole is a well-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in the recently developed methods. The book, reflecting the current state of the art, can also be used for teaching special courses. (Mathematical Reviews)

Product Identifiers

Publisher
Birkhauser Verlag Ag
ISBN-13
9783034807173
eBay Product ID (ePID)
190496600

Product Key Features

Author
Robert Roussarie
Publication Name
Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2013
Type
Textbook
Number of Pages
206 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
349g

Additional Product Features

Title_Author
Robert Roussarie
Series Title
Modern Birkhauser Classics
Country/Region of Manufacture
Switzerland

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