Oscillatory Integrals and Phenomena Beyond all Algebraic Orders: with Applications to Homoclinic Orbits in Reversible Systems - Couverture souple

Lombardi, Eric

 
9783540677857: Oscillatory Integrals and Phenomena Beyond all Algebraic Orders: with Applications to Homoclinic Orbits in Reversible Systems
Couverture souple
ISBN 10 : 3540677852 ISBN 13 : 9783540677857
Editeur : Springer, 2008

Synopsis

During the last two decades, in several branches of science (water waves, crystal growth, travelling waves in one dimensional lattices, splitting of separatrices, ...) different problems appeared in which the key point is the computation of exponentially small terms. This self-contained monograph gives new and rigorous mathematical tools which enable a systematic study of such problems. Starting with elementary illuminating examples, the book contains (i) new asymptotical tools for obtaining exponentially small equivalents of oscillatory integrals involving solutions of nonlinear differential equations; (ii) implementation of these tools for solving old open problems of bifurcation theory such as existence of homoclinic connections near resonances in reversible systems.

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Éditeur
Springer
Date d'édition
2008
Langue
anglais
ISBN 10 
3540677852
ISBN 13 
9783540677857
Reliure
Broché
Nombre de pages
436
Coordonnées du fabricant
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