Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals
Book information
Description
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.
Similar books
Germs of Diffeomorphisms in the Plane
1981 · DJVU
Cosmical Electrodynamics, 2nd Ed. (International Series of Monographs on Physics)
1963 · DJVU
Theory of Knowledge: An Introduction
1976 · DJVU
Introduction to Stochastic Processes with Special Reference to Methods and Applications
DJVU
Dynamical Theory of Crystal Lattices (The International series of monographs on physics)
1998 · DJVU
Communism and China: Ideology in Flux
1970 · DJVU
American Piety: The Nature of Religious Commitment (Patterns of Religious Commitment)
1970 · DJVU
Structural Linguistics (Midway Reprints)
1960 · DJVU