Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem

Name: Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem
Brand: Birkhauser Verlag AG
SKU: 9783764359003
Price: 262.82 RON
Availability: InStock

Autor: Robert Roussarie

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Legare: Copertă tare

Editura: Birkhauser Verlag AG

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262.82 lei

In a coherent, exhaustive and progressive way, this book presents the tools for studying local bifur...

Informații despre carte

Autor

Robert Roussarie

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1998

Pagini

206

EAN

9783764359003

ISBN

3764359005

Enbook ID

05289175

Editura

Birkhauser Verlag AG

Greutate

1100

Dimensiuni

155 x 235 x 17

Descriere completă

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 recently developed methods. The book, reflecting the state of the art, can also be used for teaching special courses. (Mathematical Reviews)

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Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem

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