Description: Oscillatory Integrals and Phenomena Beyond all Algebraic Orders by Eric Lombardi 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Notes Springer Book Archives Table of Contents "Exponential tools" for evaluating oscillatory integrals.- Resonances of reversible vector fields.- Analytic description of periodic orbits bifurcating from a pair of simple purely imaginary eigenvalues.- Constructive floquet theory for periodic matrices near a constant one.- Inversion of affine equations around reversible homoclinic connections.- The 02+i? resonance.- The 02+i? resonance in infinite dimensions. Application to water waves.- The (i?0)2i?1 resonance. Promotional Springer Book Archives Long Description 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. Details ISBN3540677852 Author Eric Lombardi Short Title OSCILLATORY INTEGRALS & PHENOM Language English ISBN-10 3540677852 ISBN-13 9783540677857 Media Book Format Paperback DEWEY 510 Series Number 1741 Year 2000 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Birth 1968 Pages 418 Illustrations XVIII, 418 p. Subtitle with Applications to Homoclinic Orbits in Reversible Systems DOI 10.1007/b87741;10.1007/978-3-540-44971-3;10.1007/BFb0104102 Edited by Teissier, Bernard Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description 2000 ed. Series Lecture Notes in Mathematics Edition 2000th Publication Date 2000-08-28 Audience Postgraduate, Research & Scholarly We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96271847;
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ISBN-13: 9783540677857
Book Title: Oscillatory Integrals and Phenomena Beyond all Algebraic Orders
Number of Pages: 418 Pages
Language: English
Publication Name: Oscillatory Integrals and Phenomena Beyond all Algebraic Orders: with Applications to Homoclinic Orbits in Reversible Systems
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Publication Year: 2000
Subject: Mathematics, Physics
Item Height: 235 mm
Item Weight: 1340 g
Type: Textbook
Author: Eric Lombardi
Item Width: 155 mm
Format: Paperback
