Technical Nonlinear Oscillations of Hamiltonian PDEs (Repost) (0817646809)

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Nonlinear Oscillations of Hamiltonian PDEs (Progress in Nonlinear Differential Equations and Their Applications)

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.

After introducing the reader to classical finite-dimensional dynamical system theory, including the Weinstein–Moser and Fadell–Rabinowitz bifurcation results, the author develops the analogous theory for nonlinear wave equations. The theory and applications of the Nash–Moser theorem to a class of nonlinear wave equations is also discussed together with other basic notions of Hamiltonian PDEs and number theory. The main examples of Hamiltonian PDEs presented include: the nonlinear wave equation, the nonlinear Schrödinger equation, beam equations, and the Euler equations of hydrodynamics.

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	Science/Engineering Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields John Guckenheimer, Philip Holmes “Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fieldss" Springer \| 1985 \| ISBN: 0387908196 \| 480 pages \| Djvu \| 8,4 Mb
	Science/Engineering Nonlinear Oscillations in Mechanical Engineering Nonlinear Oscillations in Mechanical EngineeringPublisher: Springer \| Pages: 358 \| 2005-12-01 \| ISBN: 3540281150 \| PDF \| 5 MB"Nonlinear Oscillations in Mechanical Engineering" explores the effects of nonlinearities encountered in applicatio ...
	Science/Engineering Nonlinear Oscillations Nonlinear OscillationsPublisher: Wiley \| March, 1995 \| 720 pages \| ISBN: 0471121428 \| PDF \| 27 MBNonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. ...
	Science/Engineering Pseudodifferential Operators and Nonlinear PDEs (Progress in Mathematics) Pseudodifferential Operators and Nonlinear PDEs (Progress in Mathematics)Birkhäuser Boston \| ISBN:0817635955 \| 1991-11-01 \| PDF \| 228 pages \| 3 Mb For the past 25 years the theory of pseudodifferential operators has played an important rol ...
	M. Taylor - Pseudodifferential Operators and Nonlinear PDEs M. Taylor - Pseudodifferential Operators and Nonlinear PDEsPublisher: Birkhäuser Boston \| 1991-11-01 \| ISBN: 0817635955 \| DJVU \| 228 pages \| 2.02 MBFor the past 25 years the theory of pseudodifferential operators has played an important ro ...
	Nonlinear Oscillations of Hamiltonian PDEs Nonlinear Oscillations of Hamiltonian PDEs (Progress in Nonlinear Differential Equations and Their Applications) Publisher: Birkh

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