Oscillatory integrals and phenomena beyond all algebraic orders : with applications to homoclinic orbits in reversible systems /

Oscillatory integrals and phenomena beyond all algebraic orders : with applications to homoclinic orbits in reversible systems /

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Bibliographic Details
Author / Creator:	Lombardi, Eric, 1968-
Imprint:	Berlin ; New York : Springer, ©2000.
Description:	1 online resource (xv, 412 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1741 Lecture notes in mathematics (Springer-Verlag) ; 1741.
Subject:	Bifurcation theory. Differential equations, Nonlinear -- Numerical solutions. Differentiable dynamical systems. Bifurcation theory. Differentiable dynamical systems. Differential equations, Nonlinear -- Numerical solutions.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11065879

Hidden Bibliographic Details
ISBN:	9783540449713 354044971X 3540677852 9783540677857
Notes:	Includes bibliographical references (pages 405-410) and index.
Summary:	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.
Other form:	Print version: Lombardi, Eric, 1968- Oscillatory integrals and phenomena beyond all algebraic orders. Berlin ; New York : Springer, ©2000 3540677852

Description
Summary:	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.
Physical Description:	1 online resource (xv, 412 pages) : illustrations.
Bibliography:	Includes bibliographical references (pages 405-410) and index.
ISBN:	9783540449713 354044971X 3540677852 9783540677857
ISSN:	0075-8434 ;