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- catalog abstract "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.".
- catalog contributor b3424488.
- catalog created "c1991.".
- catalog date "1991".
- catalog date "c1991.".
- catalog dateCopyrighted "c1991.".
- catalog description "Includes bibliographical references and index.".
- catalog 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.".
- catalog extent "viii, 226 p. :".
- catalog hasFormat "Bifurcations of planar vector fields.".
- catalog identifier "0387545212 (New York : alk. paper)".
- catalog identifier "3540545212 (Berlin : alk. paper) :".
- catalog isFormatOf "Bifurcations of planar vector fields.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1480.".
- catalog isPartOf "Lecture notes in mathematics ; 1480".
- catalog issued "1991".
- catalog issued "c1991.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Bifurcations of planar vector fields.".
- catalog subject "510 s 515.35 20".
- catalog subject "Bifurcation theory.".
- catalog subject "Differential equations Numerical solutions.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1480 QA372".
- catalog subject "Stability.".
- catalog title "Bifurcations of planar vector fields : nilpotent singularities and abelian integrals / F. Dumortier ... [et al.].".
- catalog type "text".