Asymptotic Analysis: From Theory to Application

J. Mauss (auth.), Ferdinand Verhulst (eds.)9780387092454, 0-387-09245-5

Table of contents :
On matching principles….Pages 1-8
Singular perturbations of spectra….Pages 9-32
Feed-back control of singularly perturbed heating problems….Pages 33-62
Singular perturbation methods in a one-dimensional free boundary problem….Pages 63-75
Bifurcation analysis of a non linear free boundary problem from plasma physics….Pages 76-93
Asymptotic approximations in magneto-hydrcdynamic singular perturbation problems….Pages 94-124
Boundary layers in large scale ocean circulation….Pages 125-145
Asymptotic methods for the Volterra-Lotka equations….Pages 146-157
Small random perturbations of dynamical systems with applications in population genetics….Pages 158-175
The description of jumps between Kepler orbits by boundary layer methods….Pages 176-186
The 1:2:1-resonance, its periodic orbits and integrals….Pages 187-208
Approximations of higher order resonances with an application to Contopoulos’ model problem….Pages 209-228
On the asymptotic validity of perturbation methods for hyperbolic differential equations….Pages 229-240