Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem

Robert Roussarie

ISBN 10: 3034897782 ISBN 13: 9783034897785

Edit� par Birkhäuser, 2012

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Synopsis :

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

� propos de l?auteur: Robert Roussarie was Professor of Mathematics at the University of Burgundy, France.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

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Titre : Bifurcations of Planar Vector Fields and ...
�diteur : Birkh�user
Date d'�dition : 2012
Reliure : Taschenbuch
Etat : Neu

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Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem (eng)

Roussarie, Robert

Edit� par Birkh�user, 2012

ISBN 10 : 3034897782 ISBN 13 : 9783034897785

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Bifurcations of Planar Vector Fields and Hilbert s Sixteenth Problem

Robert Roussarie

Edit� par Springer Basel, 2012

ISBN 10 : 3034897782 ISBN 13 : 9783034897785

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents tools for studying local bifurcations of limit cycles in families of planar vector fieldsProvides systematic introduction to classical analytic geometric methods applied to regular limit periodic sets and more recent tools for singular li. N� de r�f. du vendeur 4319587

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Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem

Robert Roussarie

Edit� par Springer Basel Nov 2012, 2012

ISBN 10 : 3034897782 ISBN 13 : 9783034897785

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 the recently developed methods. The book, reflecting the current state of the art, can also be used for teaching special courses. (Mathematical Reviews) 228 pp. Englisch. N� de r�f. du vendeur 9783034897785

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Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem

Robert Roussarie

Edit� par Springer Basel, 2012

ISBN 10 : 3034897782 ISBN 13 : 9783034897785

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 the recently developed methods. The book, reflecting the current state of the art, can also be used for teaching special courses. (Mathematical Reviews). N� de r�f. du vendeur 9783034897785

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Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem

Robert Roussarie

Edit� par Birkh�user, Birkh�user Nov 2012, 2012

ISBN 10 : 3034897782 ISBN 13 : 9783034897785

Neuf Taschenbuch

impression � la demande

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 awell-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in therecently developed methods. The book, reflecting the currentstate of the art, can also be used for teaching special courses.(Mathematical Reviews)Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 228 pp. Englisch. N� de r�f. du vendeur 9783034897785

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