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2 produkter
2 produkter
Hamiltonian Dynamics - Theory and Applications
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-10, 1999
Häftad, Engelska, 2005
376 kr
Skickas inom 10-15 vardagar
This volume compiles three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field. The aim is to describe the state of the art for some interesting problems, such as the Hamiltonian theory for infinite-dimensional Hamiltonian systems, including KAM theory, the recent extensions of the theory of adiabatic invariants, and the phenomena related to stability over exponentially long times of Nekhoroshev's theory. The books may serve as an excellent basis for young researchers, who will find here a complete and accurate exposition of recent original results and many hints for further investigation.
Del 1556 - Lecture Notes in Mathematics
Nearly Integrable Infinite-Dimensional Hamiltonian Systems
Häftad, Engelska, 1993
271 kr
Skickas inom 10-15 vardagar
The book is devoted to partial differential equations of Hamiltonian form, close to integrable equations. For such equations a KAM-like theorem is proved, stating that solutions of the unperturbed equation that are quasiperiodic in time mostly persist in the perturbed one. The theorem is applied to classical nonlinear PDE's with one-dimensional space variable such as the nonlinear string and nonlinear Schr"dinger equation and show that the equations have "regular" (=time-quasiperiodic and time-periodic) solutions in rich supply. These results cannot be obtained by other techniques. The book will thus be of interest to mathematicians and physicists working with nonlinear PDE's. An extensive summary of the results and of related topics is provided in the Introduction. All the nontraditional material used is discussed in the first part of the book and in five appendices.