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Nonlinear Oscillations Of Hamiltonian Pdes

Author: Massimiliano Berti
Publisher: Springer Science & Business Media
ISBN: 0817646817
Size: 63.35 MB
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Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. The text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in variational techniques and nonlinear analysis applied to Hamiltonian PDEs will find inspiration in the book.

Hamiltonian Dynamical Systems And Applications

Author: Walter Craig
Publisher: Springer Science & Business Media
ISBN: 1402069642
Size: 78.43 MB
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This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.

The Parameterization Method For Invariant Manifolds

Author: Àlex Haro
Publisher: Springer
ISBN: 3319296620
Size: 64.53 MB
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This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of numerical computation in dynamical systems. A public version of the software used for some of the examples is available online. The book is aimed at mathematicians, scientists and engineers interested in the theory and applications of computational dynamical systems.

Nonlinear Partial Differential Equations And Their Applications

Author: Brezis
Publisher: CRC Press
ISBN: 9780582238015
Size: 59.47 MB
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This book contains the texts of selected lectures delivered at weekly seminars at the College de France during the period 1991-93. The main theme of the papers is recent work in the field of partial differential equations - a field of growing importance both in pure and applied mathematics.

Mathematik Und Technologie

Author: Christiane Rousseau
Publisher: Springer-Verlag
ISBN: 3642300928
Size: 80.48 MB
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Zusammen mit der Abstraktion ist die Mathematik das entscheidende Werkzeug für technologische Innovationen. Das Buch bietet eine Einführung in zahlreiche Anwendungen der Mathematik auf dem Gebiet der Technologie. Meist werden moderne Anwendungen dargestellt, die heute zum Alltag gehören. Die mathematischen Grundlagen für technologische Anwendungen sind dabei relativ elementar, was die Leistungsstärke der mathematischen Modellbildung und der mathematischen Hilfsmittel beweist. Mit zahlreichen originellen Übungen am Ende eines jeden Kapitels.

Introduction To Nonlinear Differential And Integral Equations

Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Size: 80.24 MB
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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.