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Oscillatory Integrals and Phenomena Beyond all Algebraic Orders
LOMBARDI, ERIC
Inglês

Sinopse Oscillatory Integrals and Phenomena Beyond all Algebraic Orders

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.
EAN
9783540677857
Editora
Ano de edição
2000
Idioma
Inglês
Coleção
Lecture Notes in Mathematics
Altura
235
Largura
155
51,99 €
-5%
49,39 €
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