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Topological Degree Approach to Bifurcation Problems - Michal Fekan

(*)

Michal Fekan:
Topological Degree Approach to Bifurcation Problems - nouveau livre

ISBN: 9781402087240

1. 1 Preface Many phenomena from physics, biology, chemistry and economics are modeled by di erential equations with parameters. When a nonlinear equation is est- lished, its behavior/dyn… Plus…

1. 1 Preface Many phenomena from physics, biology, chemistry and economics are modeled by di erential equations with parameters. When a nonlinear equation is est- lished, its behavior/dynamics should be understood. In general, it is impossible to nd a complete dynamics of a nonlinear di erential equation. Hence at least, either periodic or irregular/chaotic solutions are tried to be shown. So a pr- erty of a desired solution of a nonlinear equation is given as a parameterized boundary value problem. Consequently, the task is transformed to a solvability of an abstract nonlinear equation with parameters on a certain functional space. When a family of solutions of the abstract equation is known for some para- ters, the persistence or bifurcations of solutions from that family is studied as parameters are changing. There are several approaches to handle such nonl- ear bifurcation problems. One of them is a topological degree method, which is rather powerful in cases when nonlinearities are not enough smooth. The aim of this book is to present several original bifurcation results achieved by the author using the topological degree theory. The scope of the results is rather broad from showing periodic and chaotic behavior of non-smooth mechanical systems through the existence of traveling waves for ordinary di erential eq- tions on in nite lattices up to study periodic oscillations of undamped abstract waveequationsonHilbertspaceswithapplicationstononlinearbeamandstring partial di erential equations. 1. Topological Degree Approach to Bifurcation Problems: 1. 1 Preface Many phenomena from physics, biology, chemistry and economics are modeled by di erential equations with parameters. When a nonlinear equation is est- lished, its behavior/dynamics should be understood. In general, it is impossible to nd a complete dynamics of a nonlinear di erential equation. Hence at least, either periodic or irregular/chaotic solutions are tried to be shown. So a pr- erty of a desired solution of a nonlinear equation is given as a parameterized boundary value problem. Consequently, the task is transformed to a solvability of an abstract nonlinear equation with parameters on a certain functional space. When a family of solutions of the abstract equation is known for some para- ters, the persistence or bifurcations of solutions from that family is studied as parameters are changing. There are several approaches to handle such nonl- ear bifurcation problems. One of them is a topological degree method, which is rather powerful in cases when nonlinearities are not enough smooth. The aim of this book is to present several original bifurcation results achieved by the author using the topological degree theory. The scope of the results is rather broad from showing periodic and chaotic behavior of non-smooth mechanical systems through the existence of traveling waves for ordinary di erential eq- tions on in nite lattices up to study periodic oscillations of undamped abstract waveequationsonHilbertspaceswithapplicationstononlinearbeamandstring partial di erential equations. 1. Boundary value problem Topology Vibration calculus differential topology friction partial differential equation wave equation C Analysis Dynamical Systems and Ergodic Theory Topology Mechanics Vibration, Dynamical Systems, Control Mathematic, Springer Netherland<

Rheinberg-Buch.de

Ebook, Englisch, Neuware Frais d'envoiAb 20¤ Versandkostenfrei in Deutschland, Sofort lieferbar, DE. (EUR 0.00)
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(*) Livre non disponible signifie que le livre est actuellement pas disponible à l'une des plates-formes associées nous recherche.

Topological Degree Approach to Bifurcation Problems - Fred Vargas

(*)

Fred Vargas:
Topological Degree Approach to Bifurcation Problems - nouveau livre

ISBN: 9781402087240

This book contains original bifurcation results for the existence of oscillations and chaotic behavior of differential equations and discrete dynamical systems under variation of involved… Plus…

hive.co.uk

No. 9781402087240. Frais d'envoiInstock, Despatched same working day before 3pm, zzgl. Versandkosten., Livraison non-comprise
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(*) Livre non disponible signifie que le livre est actuellement pas disponible à l'une des plates-formes associées nous recherche.

Topological Degree Approach to Bifurcation Problems - Michal Fe?kan

(*)

Michal Fe?kan:
Topological Degree Approach to Bifurcation Problems - nouveau livre

2008, ISBN: 9781402087240

eBooks, eBook Download (PDF), 2008, [PU: Springer Netherland], Springer Netherland, 2008

lehmanns.de

Frais d'envoiDownload sofort lieferbar. (EUR 0.00)
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Topological Degree Approach to Bifurcation Problems - Michal Fečk

(*)

Michal Fečk:
Topological Degree Approach to Bifurcation Problems - nouveau livre

2009, ISBN: 9781402087240

[ED: 2008], eBook Download (PDF), eBooks, [PU: Springer Netherland]

lehmanns.de

Frais d'envoiDownload sofort lieferbar, , Sans frais d'envoi en Allemagne (EUR 0.00)
Details...

(*) Livre non disponible signifie que le livre est actuellement pas disponible à l'une des plates-formes associées nous recherche.

Topological Degree Approach to Bifurcation Problems - Michal Fečk

(*)

Michal Fečk:
Topological Degree Approach to Bifurcation Problems - Première édition

2008, ISBN: 9781402087240

[ED: 1], Auflage, eBook Download (PDF), eBooks, [PU: Springer-Verlag]

lehmanns.de

Frais d'envoiDownload sofort lieferbar, , Versandkostenfrei innerhalb der BRD (EUR 0.00)
Details...

(*) Livre non disponible signifie que le livre est actuellement pas disponible à l'une des plates-formes associées nous recherche.

1

Topological Degree Approach to Bifurcation Problems - Michal Fekan

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€ 103,52

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Michal Fekan:

Topological Degree Approach to Bifurcation Problems - nouveau livre

ISBN: 9781402087240

1. 1 Preface Many phenomena from physics, biology, chemistry and economics are modeled by di erential equations with parameters. When a nonlinear equation is est- lished, its behavior/dyn… Plus…

1. 1 Preface Many phenomena from physics, biology, chemistry and economics are modeled by di erential equations with parameters. When a nonlinear equation is est- lished, its behavior/dynamics should be understood. In general, it is impossible to nd a complete dynamics of a nonlinear di erential equation. Hence at least, either periodic or irregular/chaotic solutions are tried to be shown. So a pr- erty of a desired solution of a nonlinear equation is given as a parameterized boundary value problem. Consequently, the task is transformed to a solvability of an abstract nonlinear equation with parameters on a certain functional space. When a family of solutions of the abstract equation is known for some para- ters, the persistence or bifurcations of solutions from that family is studied as parameters are changing. There are several approaches to handle such nonl- ear bifurcation problems. One of them is a topological degree method, which is rather powerful in cases when nonlinearities are not enough smooth. The aim of this book is to present several original bifurcation results achieved by the author using the topological degree theory. The scope of the results is rather broad from showing periodic and chaotic behavior of non-smooth mechanical systems through the existence of traveling waves for ordinary di erential eq- tions on in nite lattices up to study periodic oscillations of undamped abstract waveequationsonHilbertspaceswithapplicationstononlinearbeamandstring partial di erential equations. 1. Topological Degree Approach to Bifurcation Problems: 1. 1 Preface Many phenomena from physics, biology, chemistry and economics are modeled by di erential equations with parameters. When a nonlinear equation is est- lished, its behavior/dynamics should be understood. In general, it is impossible to nd a complete dynamics of a nonlinear di erential equation. Hence at least, either periodic or irregular/chaotic solutions are tried to be shown. So a pr- erty of a desired solution of a nonlinear equation is given as a parameterized boundary value problem. Consequently, the task is transformed to a solvability of an abstract nonlinear equation with parameters on a certain functional space. When a family of solutions of the abstract equation is known for some para- ters, the persistence or bifurcations of solutions from that family is studied as parameters are changing. There are several approaches to handle such nonl- ear bifurcation problems. One of them is a topological degree method, which is rather powerful in cases when nonlinearities are not enough smooth. The aim of this book is to present several original bifurcation results achieved by the author using the topological degree theory. The scope of the results is rather broad from showing periodic and chaotic behavior of non-smooth mechanical systems through the existence of traveling waves for ordinary di erential eq- tions on in nite lattices up to study periodic oscillations of undamped abstract waveequationsonHilbertspaceswithapplicationstononlinearbeamandstring partial di erential equations. 1. Boundary value problem Topology Vibration calculus differential topology friction partial differential equation wave equation C Analysis Dynamical Systems and Ergodic Theory Topology Mechanics Vibration, Dynamical Systems, Control Mathematic, Springer Netherland<

- Ebook, Englisch, Neuware Frais d'envoiAb 20¤ Versandkostenfrei in Deutschland, Sofort lieferbar, DE. (EUR 0.00)

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2

Topological Degree Approach to Bifurcation Problems - Fred Vargas

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£ 76,50

(environ € 87,25)

Détails et expédition

Lien sponsorisé

Fred Vargas:

Topological Degree Approach to Bifurcation Problems - nouveau livre

ISBN: 9781402087240

This book contains original bifurcation results for the existence of oscillations and chaotic behavior of differential equations and discrete dynamical systems under variation of involved… Plus…

- No. 9781402087240. Frais d'envoiInstock, Despatched same working day before 3pm, zzgl. Versandkosten., Livraison non-comprise

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3

Topological Degree Approach to Bifurcation Problems - Michal Fe?kan

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€ 96,29

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Michal Fe?kan:
Topological Degree Approach to Bifurcation Problems - nouveau livre

2008

ISBN: 9781402087240

eBooks, eBook Download (PDF), 2008, [PU: Springer Netherland], Springer Netherland, 2008

Frais d'envoiDownload sofort lieferbar. (EUR 0.00)

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4

Topological Degree Approach to Bifurcation Problems - Michal Fečk

Commander
sur lehmanns.de

€ 103,52

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Lien sponsorisé

Michal Fečk:
Topological Degree Approach to Bifurcation Problems - nouveau livre

2009, ISBN: 9781402087240

[ED: 2008], eBook Download (PDF), eBooks, [PU: Springer Netherland]

- Frais d'envoiDownload sofort lieferbar, , Sans frais d'envoi en Allemagne (EUR 0.00)

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5

Topological Degree Approach to Bifurcation Problems - Michal Fečk

Commander
sur lehmanns.de

€ 103,52

Envoi: € 0,00¹

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Lien sponsorisé

Michal Fečk:
Topological Degree Approach to Bifurcation Problems - Première édition

2008, ISBN: 9781402087240

[ED: 1], Auflage, eBook Download (PDF), eBooks, [PU: Springer-Verlag]

- Frais d'envoiDownload sofort lieferbar, , Versandkostenfrei innerhalb der BRD (EUR 0.00)

Informations sur tendance des prix

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Détails sur le livre

Topological Degree Approach to Bifurcation Problems

Auteur:	Michal Fe?kan
Titre:	Topological Degree Approach to Bifurcation Problems
ISBN:	9781402087240

Informations détaillées sur le livre - Topological Degree Approach to Bifurcation Problems

EAN (ISBN-13): 9781402087240
Date de parution: 2008
Editeur: Springer Netherland
261 Pages
Langue: eng/Englisch

Livre dans la base de données depuis 2009-03-01T16:25:02+01:00 (Zurich)
Page de détail modifiée en dernier sur 2024-03-02T01:46:57+01:00 (Zurich)
ISBN/EAN: 9781402087240

ISBN - Autres types d'écriture:
978-1-4020-8724-0
Autres types d'écriture et termes associés:
Auteur du livre: michal, fred vargas
Titre du livre: approach problems, bifur

Données de l'éditeur

Auteur: Michal Fečkan
Titre: Topological Fixed Point Theory and Its Applications; Topological Degree Approach to Bifurcation Problems
Editeur: Springer; Springer Netherland
261 Pages
Date de parution: 2008-06-29
Dordrecht; NL
Langue: Anglais
53,49 € (DE)
55,00 € (AT)
59,00 CHF (CH)
Available
IX, 261 p. 17 illus.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Geometrie; Topologie; Verstehen; Boundary value problem; Topology; Vibration; calculus; differential topology; friction; partial differential equation; wave equation; C; Topology; Analysis; Dynamical Systems; Classical Mechanics; Multibody Systems and Mechanical Vibrations; Mathematics and Statistics; Mathematische Analysis, allgemein; Kybernetik und Systemtheorie; Klassische Mechanik; Maschinenbau: Festkörpermechanik; BB

Theoretical Background.- Bifurcation of Periodic Solutions.- Bifurcation of Chaotic Solutions.- Topological Transversality.- Traveling Waves on Lattices.- Periodic Oscillations of Wave Equations.- Topological Degree for Wave Equations.
Includes (1) Rigorous proofs of chaotic solutions for discontinuous differential equations and differential inclusions (2) Bifurcations of periodic solutions in differential inclusions and systems with relay hysteresis (3) The persistence of traveling waves under spatial discretization of sine-Gordon and Klein-Gordon partial differential equations (4) Topological degree theory for discontinuous wave partial differential equations (5) Chaotic behavior of maps possessing topologically transversally intersecting invariant manifolds

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Dernier livre similaire:
9789048179695 Topological Degree Approach to Bifurcation Problems (Topological Fixed Point Theory and Its Applications, Band 5) (Fe?kan, Michal)

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