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Field name	Details
Dewey Class	515
Title	Oscillatory Integrals and Phenomena Beyond all Algebriac Orders ([EBook] :) : With Applications to Homoclinic Orbits in Reversible Systems / / by Eric Lombardi.
Author	Lombardi, Eric
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2000.
Physical Details	XVIII, 418 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1741
ISBN	9783540449713
Summary Note	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.:
Contents note	"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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0104102
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Dynamical Systems . Mathematical analysis . Mathematics . Statistical Physics . Statistical Physics, Dynamical Systems and Complexity . Authors: Lombardi, Eric . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515 .

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Oscillatory Integrals and Phenomena Beyond all Algebriac Orders: With Applications to Homoclinic Orbits in Reversible Systems /

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