Nonlinear Oscillations Of Hamiltonian Pdes
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Nonlinear Oscillations Of Hamiltonian Pdes
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Author : Massimiliano Berti
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-01
Nonlinear Oscillations Of Hamiltonian Pdes written by Massimiliano Berti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-01 with Mathematics categories.
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.
Nonlinear Oscillations Of Hamiltonian Pdes
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Author : Massimiliano Berti
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-05
Nonlinear Oscillations Of Hamiltonian Pdes written by Massimiliano Berti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-05 with Mathematics categories.
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.
Contributions To The Theory Of Nonlinear Oscillations Am 41 Volume Iv
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Author : Solomon Lefschetz
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Contributions To The Theory Of Nonlinear Oscillations Am 41 Volume Iv written by Solomon Lefschetz and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV, will be forthcoming.
Nonlinear Oscillations And Boundary Value Problems For Hamiltonian Systems
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Author : Frank H. Clarke
language : en
Publisher:
Release Date : 1979
Nonlinear Oscillations And Boundary Value Problems For Hamiltonian Systems written by Frank H. Clarke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Boundary value problems categories.
Hamilton's differential equations are basic in the study of theoretical mechanics. A particular class of motions of interest for such systems of equations are the periodic ones, which correspond to oscillations (vibrations) of the underlying physical system; the absence of such motions is usually associated with resonance phenomena. In this paper we give conditions on the Hamiltonian function H which guarantee the existence of periodic orbits, as well as other more general types of motions. One distinction with previous work on the subject is that we consider forced vibrations arising from external driving forces; another is that the solutions in question are characterized directly as the solutions of a specific minimization problem (i.e., we obtain a 'variational principle'), a feature which could prove useful for computational purposes.
Contributions To The Theory Of Nonlinear Oscillations
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Author : Solomon Lefschetz
language : en
Publisher: Princeton University Press
Release Date :
Contributions To The Theory Of Nonlinear Oscillations written by Solomon Lefschetz and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with Nonlinear oscillations categories.
The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM-36)" is not yet available.
Contributions To The Theory Of Nonlinear Oscillations
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Author : Solomon Lefschetz
language : en
Publisher:
Release Date : 1960
Contributions To The Theory Of Nonlinear Oscillations written by Solomon Lefschetz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Oscillations categories.
Perturbation Method In The Theory Of Nonlinear Oscillations
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Author : Stanford University. Department of Aeronautics and Astronautics
language : en
Publisher:
Release Date : 1969
Perturbation Method In The Theory Of Nonlinear Oscillations written by Stanford University. Department of Aeronautics and Astronautics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Contributions To The Theory Of Nonlinear Oscillations By S P Diliberto And Others
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Author : Solomon Lefschetz
language : en
Publisher:
Release Date : 1952
Contributions To The Theory Of Nonlinear Oscillations By S P Diliberto And Others written by Solomon Lefschetz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Oscillations categories.
Non Linear Oscillations
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Author : Peter Hagedorn
language : en
Publisher: Oxford University Press, USA
Release Date : 1988
Non Linear Oscillations written by Peter Hagedorn and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Language Arts & Disciplines categories.
A description of systems in terms of non-linear ordinary differential equations and an attempt to convey the basic ideas of the dynamic behaviour of non-linear systems, with a chapter on optimal control.
Truly Nonlinear Oscillations
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Author : Ronald E. Mickens
language : en
Publisher: World Scientific
Release Date : 2010
Truly Nonlinear Oscillations written by Ronald E. Mickens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of "truly nonlinear" (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a direct comparison to be made among the various methods. The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply this technique to the field of nonlinear oscillations.