Mathematical Physics

Download E-books Oscillatory Integrals and Phenomena Beyond all Algebraic Orders: with Applications to Homoclinic Orbits in Reversible Systems PDF

By Eric Lombardi

Over the past twenty years, in numerous branches of technological know-how (water waves, crystal progress, vacationing waves in a single dimensional lattices, splitting of separatrices,...) diversified difficulties seemed within which the major aspect is the computation of exponentially small phrases. This self-contained monograph supplies new and rigorous mathematical instruments which allow a scientific learn of such difficulties. beginning with uncomplicated illuminating examples, the ebook comprises (i) new asymptotical instruments for acquiring exponentially small equivalents of oscillatory integrals regarding suggestions of nonlinear differential equations; (ii) implementation of those instruments for fixing outdated open difficulties of bifurcation idea corresponding to lifestyles of homoclinic connections close to resonances in reversible structures.

Show description

Read Online or Download Oscillatory Integrals and Phenomena Beyond all Algebraic Orders: with Applications to Homoclinic Orbits in Reversible Systems PDF

Best Mathematical Physics books

Mathematical Methods for Physicists, Seventh Edition: A Comprehensive Guide

Now in its seventh version, Mathematical equipment for Physicists keeps to supply all of the mathematical equipment that aspiring scientists and engineers are inclined to come upon as scholars and starting researchers. This bestselling textual content offers mathematical kin and their proofs necessary to the examine of physics and similar fields.

Chaos and Fractals: An Elementary Introduction

This e-book presents the reader with an straight forward advent to chaos and fractals, appropriate for college kids with a heritage in undemanding algebra, with out assuming earlier coursework in calculus or physics. It introduces the major phenomena of chaos - aperiodicity, delicate dependence on preliminary stipulations, bifurcations - through basic iterated capabilities.

Hyperbolic Dynamics and Brownian Motion: An Introduction (Oxford Mathematical Monographs)

Hyperbolic Dynamics and Brownian movement illustrates the interaction among unique domain names of arithmetic. there isn't any assumption that the reader is a expert in any of those domain names: simply uncomplicated wisdom of linear algebra, calculus and chance idea is needed. The content material could be summarized in 3 ways: to start with, this booklet presents an advent to hyperbolic geometry, in response to the Lorentz staff.

Additional info for Oscillatory Integrals and Phenomena Beyond all Algebraic Orders: with Applications to Homoclinic Orbits in Reversible Systems

Show sample text content

Rated 4.72 of 5 – based on 22 votes