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A number of recent significant developments in the theory of differential equations are presented in an elementary fashion, many of which are scattered throughout the literature and have not previously appeared in book form, the common denominator being the theory of planar vector fields (real or complex). A second common feature is the study of bifurcations of dynamical systems. Moreover, the book links fields that have developed independently and signposts problems that are likely to become significant in the future.
The following subjects are covered: new tools for local and global properties of systems and families of systems, nonlocal bifurcations, finiteness properties of Pfaffian functions and of differential equations, geometric interpretation of the Stokes phenomena, analytic theory of ordinary differential equations and complex foliations, applications to Hilbert's 16th problem.
The following subjects are covered: new tools for local and global properties of systems and families of systems, nonlocal bifurcations, finiteness properties of Pfaffian functions and of differential equations, geometric interpretation of the Stokes phenomena, analytic theory of ordinary differential equations and complex foliations, applications to Hilbert's 16th problem.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti:
Preface. Key to group picture. Participants. Contributors. Relations between Abelian integrals and limit cycles; M. Caubergh, R. Roussarie. Topics on singularities and bifurcations of vector fields; F. Dumortier, P. de Maesschalck. Recent advances in the analysis of divergence and singularities; J. Écalle. Local bifurcations of limit cycles, Abel equations and Liénard systems; J.-P. Françoise. Complexity of computations with Pfaffian and Noetherian functions; A. Gabrielov, N. Vorobjov. Hamiltonian bifurcations and local analytic classification; V. Gelfreich. Confluence of singular points and Stokes phenomena; A. Glutsyuk. Bifurcations of relaxation oscillations; J. Guckenheimer. Selected topics in differential equations with real and complex time; Y. Ilyashenko. Growth rate of the number of periodic points; V.Yu. Kaloshin. Normal forms, bifurcations and finiteness properties of vector fields; C. Rousseau. Aspects of planar polynomial vector fields: global versus local, real versus complex, analytic versus algebraic and geometric; D. Schlomiuk. Index.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer
- Data di pubblicazione2008
- ISBN 10 1402019297
- ISBN 13 9781402019296
- RilegaturaCopertina flessibile
- Numero di pagine544
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Normal Forms, Bifurcations and Finiteness Problems in Differential Equations
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Descrizione libro Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A number of recent significant developments in the theory of differential equations are presented in an elementary fashion, many of which are scattered throughout the literature and have not previously appeared in book form, the common denominator being the theory of planar vector fields (real or complex). A second common feature is the study of bifurcations of dynamical systems. Moreover, the book links fields that have developed independently and signposts problems that are likely to become significant in the future. The following subjects are covered: new tools for local and global properties of systems and families of systems, nonlocal bifurcations, finiteness properties of Pfaffian functions and of differential equations, geometric interpretation of the Stokes phenomena, analytic theory of ordinary differential equations and complex foliations, applications to Hilbert's 16th problem. 544 pp. Englisch. Codice articolo 9781402019296
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Normal Forms, Bifurcations and Finiteness Problems in Differential Equations (Nato Science Series II:) by Rousseau, Christiane, Ilyashenko, Yulij [Paperback ]
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Descrizione libro Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - A number of recent significant developments in the theory of differential equations are presented in an elementary fashion, many of which are scattered throughout the literature and have not previously appeared in book form, the common denominator being the theory of planar vector fields (real or complex). A second common feature is the study of bifurcations of dynamical systems. Moreover, the book links fields that have developed independently and signposts problems that are likely to become significant in the future. The following subjects are covered: new tools for local and global properties of systems and families of systems, nonlocal bifurcations, finiteness properties of Pfaffian functions and of differential equations, geometric interpretation of the Stokes phenomena, analytic theory of ordinary differential equations and complex foliations, applications to Hilbert's 16th problem. Codice articolo 9781402019296
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Normal Forms, Bifurcations and Finiteness Problems in Differential Equations (NATO Science Series II: Mathematics, Physics and Chemistry, 137)
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Descrizione libro Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Proceedings of the Nato Advanced Study Institute, held in Montreal, Canada, from 8 to 19 July 2002 A number of recent significant developments in the theory of differential equations are presented in an elementary fashion, many of which are scattered . Codice articolo 4092841
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Descrizione libro Condizione: New. Proceedings of the Nato Advanced Study Institute, held in Montreal, Canada, from 8 to 19 July 2002 Editor(s): Ilyashenko, Yulij; Rousseau, Christiane (Dept. de Mathematiques et de Statistique, Universite de Montreal, QC, Canada). Series: NATO Science Series II. Num Pages: 513 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 27. Weight in Grams: 836. . 2004. Softcover reprint of the original 1st ed. 2004. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9781402019296
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Normal Forms, Bifurcations and Finiteness Problems in Differential Equations
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ISBN 13: 9781402019296
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Descrizione libro Condizione: New. Proceedings of the Nato Advanced Study Institute, held in Montreal, Canada, from 8 to 19 July 2002 Editor(s): Ilyashenko, Yulij; Rousseau, Christiane (Dept. de Mathematiques et de Statistique, Universite de Montreal, QC, Canada). Series: NATO Science Series II. Num Pages: 513 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 27. Weight in Grams: 836. . 2004. Softcover reprint of the original 1st ed. 2004. Paperback. . . . . Codice articolo V9781402019296
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