Bifurcations of Planar Vector Fields - Nilpotent Singularities and Abelian Integrals (Paperback, 1991 ed.)

The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important codimension-three cases are studied in detail. The results presented reach the limits of what is currently known on the bifurcation theory of planar vector fields. While the treatment is geometric, special analytical tools using abelian integrals are needed, and are explicitly developed. The rescaling and normalization methods are improved for application here. The reader is assumed to be familiar with the elements of Bifurcation and Dynamical Systems Theory. The book is addressed to researchers and graduate students working in Ordinary Differential Equations and Dynamical Systems, as well as anyone modelling complex multiparametric phenomena.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1480
Release date:	October 1991
First published:	1991
Authors:	Freddy Dumortier • Robert Roussarie • Jorge Sotomayor • Henryk Zoladek
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	232
Edition:	1991 ed.
ISBN-13:	978-3-540-54521-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Promotions
LSN:	3-540-54521-2
Barcode:	9783540545217

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!