Oscillatory Integrals and Phenomena Beyond all Algebraic Orders / Lecture Notes in Mathematics Bd.1741 (PDF)
with Applications to Homoclinic Orbits in Reversible Systems
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autor: Eric Lombardi
- 2007, 2000, 418 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 354044971X
- ISBN-13: 9783540449713
- Erscheinungsdatum: 06.05.2007
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Dateiformat: PDF
- Größe: 24 MB
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Sprache:
Englisch
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