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Technical Asymptotic Behaviour of Monodromy

Posted on 2010-08-20




Name:Technical Asymptotic Behaviour of Monodromy
ASIN/ISBN:3540550097
Publish Date:December 23, 1991
Pages:139 pages
File size:7.15 Mb
Publish Date: December 23, 1991
ISBN: 3540550097
Pages: 139 pages
File Type: PDF
File Size: 7.15 mb
Other Info: Springer
   Technical Asymptotic Behaviour of Monodromy

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Asymptotic Behaviour of Monodromy

This book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic expansions for the solution in terms of a parameter expressing how some coefficients go to infinity. A particular classof families of equations is considered, where the answer exhibits a new kind of behavior not seen in most work known until now. The techniques include Laplace transform and the method of stationary phase, and a combinatorial technique for estimating the contributions of terms in an infinite series expansion for the solution. Addressed primarily to researchers inalgebraic geometry, ordinary differential equations and complex analysis, the book will also be of interest to applied mathematicians working on asymptotics of singular perturbations and numerical solution of ODE's.

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