Asymptotic Analysis II - Surveys and New Trends

Dynamical systems driven by small white noise: Asymptotic analysis and applications....Pages 2-34
Introduction to the paper by V.F. Butuzov and A.B. Vasil’eva....Pages 35-37
Singularly perturbed differential equations of parabolic type....Pages 38-75
Asymptotic methods in mathematical biology....Pages 76-95
Introduction to the paper by A.S. Bakaj....Pages 96-98
Integral manifolds and adiabatic invariants of systems in slow evolution....Pages 99-136
Asymptotic analysis of hamiltonian systems....Pages 137-183
Appendix....Pages 184-191
Homogenization method for the study of composite media....Pages 192-214
Uniform asymptotic expresions for the fundamental matrix of singularly perturbed linear systems and applications....Pages 215-245
Slow/fast decoupling for linear boundary value problems....Pages 248-266
Numerical aspects of singular perturbation problems....Pages 267-287
The (Driven) Josephson equation: An exercise in asymptotics....Pages 288-318
Periodic solutions of the autonomous josephson equation....Pages 319-326
On the interaction of flames and sound....Pages 327-346
Introduction to the research papers....Pages 348-348
Application of a combined Galerkin-averaging method....Pages 349-369
Asymptotic expansions for singularly perturbed differential matrix riccati equations with applications to linear — Quadratic optimization problems....Pages 370-399
Singular perturbations of epidemic models involving a threshold....Pages 400-412
An asymptotic theory for the free vibrations of an iced two-conductor bundled transmission line....Pages 413-430
Linear methods in nonlinear problems with a small parameter....Pages 431-448
Relaxation oscillations including a standard chase on French ducks....Pages 449-494