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The last thirty years were a period of continuous and intense growth in the subject of dynamical systems. New concepts and techniques and at the same time new areas of applications of the… More...

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2010, ISBN: 9789048143030

Editor: Schlomiuk, Dana, Springer, Paperback, Auflage: Softcover reprint of hardcover 1st ed. 1993, 492 Seiten, Publiziert: 2010-12-08T00:00:01Z, Produktgruppe: Book, 0.69 kg, Algorithms,… More...

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*Bifurcations and Periodic Orbits of Vector Fields* - Softcover reprint of hardcover 1st ed. 1993 / Taschenbuch für 320.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > B… More...

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Bifurcations and Periodic Orbits of Vector Fields (Nato Science Series C:, 408) - Paperback

2010, ISBN: 9048143039

[EAN: 9789048143030], New book, [SC: 61.53], [PU: Springer], Books

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Bifurcations and Periodic Orbits of Vector Fields
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ISBN:

9789048143030


The main topic of this book is the theory of bifurcations of vector fields, i.e. the study of families of vector fields depending on one or several parameters and the changes (bifurcations) in the topological character of the objects studied as parameters vary. In particular, one of the phenomena studied is the bifurcation of periodic orbits from a singular point or a polycycle. The following topics are discussed in the book: Divergent series and resummation techniques with applications, in particular to the proofs of the finiteness conjecture of Dulac saying that polynomial vector fields on R2 cannot possess an infinity of limit cycles. The proofs work in the more general context of real analytic vector fields on the plane. Techniques in the study of unfoldings of singularities of vector fields (blowing up, normal forms, desingularization of vector fields). Local dynamics and nonlocal bifurcations. Knots and orbit genealogies in three-dimensional flows. Bifurcations and applications: computational studies of vector fields. Holomorphic differential equations in dimension two. Studies of real and complex polynomial systems and of the complex foliations arising from polynomial differential equations. Applications of computer algebra to dynamical systems.

Details of the book - Bifurcations and Periodic Orbits of Vector Fields


EAN (ISBN-13): 9789048143030
ISBN (ISBN-10): 9048143039
Hardcover
Paperback
Publishing year: 2010
Publisher: Springer Netherlands
492 Pages
Weight: 0,737 kg
Language: eng/Englisch

Book in our database since 2011-04-07T01:10:52+01:00 (London)
Detail page last modified on 2023-11-22T22:48:40+00:00 (London)
ISBN/EAN: 9789048143030

ISBN - alternate spelling:
90-481-4303-9, 978-90-481-4303-0
Alternate spelling and related search-keywords:
Book author: dana
Book title: bifur, fields, vector

Information from Publisher

Author: Dana Schlomiuk
Title: Nato Science Series C:; Bifurcations and Periodic Orbits of Vector Fields
Publisher: Springer; Springer Netherland
474 Pages
Publishing year: 2010-12-08
Dordrecht; NL
Printed / Made in
Language: English
320,99 € (DE)
329,99 € (AT)
354,00 CHF (CH)
POD
XVIII, 474 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; computer; computer algebra; differential equation; dynamical systems; perturbation; perturbation theory; ordinary differential equations; Differential Equations; Global Analysis and Analysis on Manifolds; Functions of a Complex Variable; Sequences, Series, Summability; Geometry; Numerical Analysis; Mathematische Analysis, allgemein; Komplexe Analysis, komplexe Variablen, Funktionentheorie; Geometrie; Numerische Mathematik; BB

Complex Foliations Arising from Polynomial Differential Equations.- Techniques in the Theory of Local Bifurcations: Blow-Up, Normal Forms, Nilpotent Bifurcations, Singular Perturbations.- Six Lectures on Transseries, Analysable Functions and the Constructive Proof of Dulac’s Conjecture.- Knots and Orbit Genealogies in Three Dimensional Flows.- Dynamical Systems: Some Computational Problems.- Local Dynamics and Nonlocal Bifurcations.- Singularités d’équations différentielles holomorphes en dimension deux.- Techniques in the Theory of Local Bifurcations: Cyclicity and Desingularization.- Bifurcation Methods in Polynomial Systems.- Algebraic and Geometric Aspects of the Theory of Polynomial Vector Fields.

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