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Bifurcations and Periodic Orbits of Vector Fields (Paperback)
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Bifurcations and Periodic Orbits of Vector Fields (Paperback) - pocketboek

2010, ISBN: 9048143039

ID: 22424155039

[EAN: 9789048143030], Libro nuovo, [SC: 0.0], [PU: Springer, Netherlands], Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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 theory were found. The 31st session of the Seminaire de Mathematiques Superieures (SMS) held at the Universite de Montreal in July 1992 was on dynamical systems having as its center theme Bifurcations and periodic orbits of vector fields . This session of the SMS was a NATO Advanced Study Institute (ASI). This ASI had the purpose of acquainting the participants with some of the most recent developments and of stimulating new research around the chosen center theme. These developments include the major tools of the new resummation techniques with applications, in particular to the proof of the non-accumulation of limit-cycles for real-analytic plane vector fields. One of the aims of the ASI was to bring together methods from real and complex dy- namical systems. There is a growing awareness that an interplay between real and complex methods is both useful and necessary for the solution of some of the problems.Complex techniques become powerful tools which yield valuable information when applied to the study of the dynamics of real vector fields. The recent developments show that no rigid frontiers between disciplines exist and that interesting new developments occur when ideas and techniques from diverse disciplines are married. One of the aims of the ASI was to show these multiple interactions at work.

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Bifurcations and Periodic Orbits of Vector Fields (Paperback)
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Bifurcations and Periodic Orbits of Vector Fields (Paperback) - pocketboek

2010, ISBN: 9048143039

ID: 14251968800

[EAN: 9789048143030], Libro nuovo, [SC: 0.57], [PU: Springer, Netherlands], Language: English . Brand New Book ***** Print on Demand *****.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 theory were found. The 31st session of the Seminaire de Mathematiques Superieures (SMS) held at the Universite de Montreal in July 1992 was on dynamical systems having as its center theme Bifurcations and periodic orbits of vector fields . This session of the SMS was a NATO Advanced Study Institute (ASI). This ASI had the purpose of acquainting the participants with some of the most recent developments and of stimulating new research around the chosen center theme. These developments include the major tools of the new resummation techniques with applications, in particular to the proof of the non-accumulation of limit-cycles for real-analytic plane vector fields. One of the aims of the ASI was to bring together methods from real and complex dy- namical systems. There is a growing awareness that an interplay between real and complex methods is both useful and necessary for the solution of some of the problems.Complex techniques become powerful tools which yield valuable information when applied to the study of the dynamics of real vector fields. The recent developments show that no rigid frontiers between disciplines exist and that interesting new developments occur when ideas and techniques from diverse disciplines are married. One of the aims of the ASI was to show these multiple interactions at work.

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Bifurcations and Periodic Orbits of Vector Fields
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Bifurcations and Periodic Orbits of Vector Fields - nieuw boek

ISBN: 9789048143030

ID: 978904814303

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. Books, Science and Nature, Bifurcations and Periodic Orbits of Vector Fields Books>Science and Nature, Springer Netherlands

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Bifurcations and Periodic Orbits of Vector Fields als Buch von - Springer Netherlands
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ISBN: 9789048143030

ID: 818371885

Bifurcations and Periodic Orbits of Vector Fields ab 332.49 EURO NATO Science Series C. Softcover reprint of hardcover 1st ed. 1993. Bifurcations and Periodic Orbits of Vector Fields ab 332.49 EURO NATO Science Series C. Softcover reprint of hardcover 1st ed. 1993. Bücher > Wissenschaft > Mathematik

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ISBN: 9789048143030

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Bifurcations and Periodic Orbits of Vector Fields

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.

Gedetalleerde informatie over het boek. - Bifurcations and Periodic Orbits of Vector Fields


EAN (ISBN-13): 9789048143030
ISBN (ISBN-10): 9048143039
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
492 Bladzijden
Gewicht: 0,737 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 07.04.2011 02:10:52
Boek voor het laatst gevonden op 09.04.2018 17:58:43
ISBN/EAN: 9789048143030

ISBN - alternatieve schrijfwijzen:
90-481-4303-9, 978-90-481-4303-0


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