Asymptotic Analysis II: Surveys and New Trends

by Ferdinand Verhulst (Editor)

Dynamical systems driven by small white Asymptotic analysis and applications.- to the paper by V.F. Butuzov and A.B. Vasil'eva.- Singularly perturbed differential equations of parabolic type.- Asymptotic methods in mathematical biology.- to the paper by A.S. Bakaj.- Integral manifolds and adiabatic invariants of systems in slow evolution.- Asymptotic analysis of hamiltonian systems.- Homogenization method for the study of composite media.- Uniform asymptotic expresions for the fundamental matrix of singularly perturbed linear systems and applications.- Slow/fast decoupling for linear boundary value problems.- Numerical aspects of singular perturbation problems.- The (Driven) Josephson An exercise in asymptotics.- Periodic solutions of the autonomous josephson equation.- On the interaction of flames and sound.- to the research papers.- Application of a combined Galerkin-averaging method.- Asymptotic expansions for singularly perturbed differential matrix riccati equations with applications to linear - Quadratic optimization problems.- Singular perturbations of epidemic models involving a threshold.- An asymptotic theory for the free vibrations of an iced two-conductor bundled transmission line.- Linear methods in nonlinear problems with a small parameter.- Relaxation oscillations including a standard chase on French ducks.

504 pages, Paperback

First published May 20, 1983

About the author

Ferdinand Verhulst is retired professor of Mathematics at the University of Utrecht in the Netherlands.

He is also the founder of the publisher Epsilon Uitgaven, in 1985. This publisher aims to publish scientific books in Dutch, with a special eye to Mathematics, both because it is easier to learn in your own language, and also to promote mathematics among non-mathematicians. In Dutch (as published on the website) "Epsilon Uitgaven beoogt het tot stand brengen en verspreiden van wetenschappelijke boeken in de Nederlandse taal met de nadruk op wiskunde."