Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem

AvRobert Roussarie

Inbunden, Engelska, 1998

Del 164 i serien Modern Birkhäuser Classics

534 kr

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Häftad

534 kr

Häftad

534 kr

Beskrivning

r Presents the tools for studying local bifurcations of limit cycles in families of planar vector fields. The text provides a systematic introduction 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 exposision moves from classical analytic geometric methods to regular limit periodic sets to more recent tools for singular limit sets.

Produktinformation

Utgivningsdatum:1998-05-19
Mått:155 x 235 x 17 mm
Vikt:512 g
Format:Inbunden
Språk:Engelska
Serie:Modern Birkhäuser Classics
Antal sidor:206
Upplaga:1998
Förlag:Birkhauser Verlag AG
ISBN:9783764359003

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Robert Roussarie was Professor of Mathematics at the University of Burgundy, France.

Recensioner i media

"A well-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in recently developed methods. The book, reflecting the state of the art, can also be used for teaching special courses." --Mathematical Reviews

Innehållsförteckning

Preface.- 1 Families of Two-dimensional Vector Fields.- 2 Limit Periodic Sets.- 3 The 0-Parameter Case.- 4 Bifurcations of Regular Limit Periodic Sets.- 5 Bifurcations of Elementary Graphics.- 6 Desingularization Theory and Bifurcation of Non-elementary Limit Periodic Sets.- Bibliography.- Index.