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Kleinster Preis: 101,14 €, größter Preis: 103,52 €, Mittelwert: 102,66 €
Topological Degree Approach to Bifurcation Problems - Michal Fekan
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Michal Fekan:

Topological Degree Approach to Bifurcation Problems - neues Buch

ISBN: 9781402087240

ID: 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/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

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Topological Degree Approach to Bifurcation Problems
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Topological Degree Approach to Bifurcation Problems - neues Buch

ISBN: 9781402087240

ID: 8c8d71551ff18765a06124794c0edf79

Topological bifurcation theory is one of the most essential topics in mathematics. This book contains original bifurcation results for the existence of oscillations and chaotic behaviour of differential equations and discrete dynamical systems under variation of involved parameters. Using topological degree theory and a perturbation approach in dynamical systems, a broad variety of nonlinear problems are studied, including: non-smooth mechanical systems with dry frictions; systems with relay hysteresis; differential equations on infinite lattices of Frenkel-Kontorova and discretized Klein-Gordon types; blue sky catastrophes for reversible dynamical systems; buckling of beams; and discontinuous wave equations. Precise and complete proofs make this book valuable to both the applied sciences and mathematical fields, ensuring the book should also be of interest to physicists and theoretically inclined engineers interested in bifurcation theory and its applications to dynamical systems and nonlinear analysis. eBooks / Englische eBooks / Math, Springer Netherland

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Topological Degree Approach to Bifurcation Problems - Michal Fečk
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Michal Fečk:
Topological Degree Approach to Bifurcation Problems - neues Buch

2009

ISBN: 9781402087240

ID: 21665798

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

Neues Buch Lehmanns.de
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Topological Degree Approach to Bifurcation Problems - Michal Fečk
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Michal Fečk:
Topological Degree Approach to Bifurcation Problems - Erstausgabe

2008, ISBN: 9781402087240

ID: 21665798

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

Neues Buch Lehmanns.de
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Topological Degree Approach to Bifurcation Problems - Michal Fe?kan
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Michal Fe?kan:
Topological Degree Approach to Bifurcation Problems - Erstausgabe

2009, ISBN: 9781402087240

ID: 21665798

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

Neues Buch Lehmanns.de
Versandkosten:Download sofort lieferbar, , Versandkostenfrei innerhalb der BRD (EUR 0.00)
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Details zum Buch
Topological Degree Approach to Bifurcation Problems
Autor:

Feckan, Michal

Titel:

Topological Degree Approach to Bifurcation Problems

ISBN-Nummer:

9781402087240

Detailangaben zum Buch - Topological Degree Approach to Bifurcation Problems


EAN (ISBN-13): 9781402087240
Erscheinungsjahr: 2008
Herausgeber: Springer Netherland
261 Seiten
Sprache: eng/Englisch

Buch in der Datenbank seit 01.03.2009 16:25:02
Buch zuletzt gefunden am 22.12.2016 12:06:03
ISBN/EAN: 9781402087240

ISBN - alternative Schreibweisen:
978-1-4020-8724-0

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