Asymptotic analysis : from theory to application

Bibliographic Information

Asymptotic analysis : from theory to application

edited by F. Verhulst

(Lecture notes in mathematics, 711)

Springer-Verlag, 1979

  • : Berlin
  • : New York

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Includes bibliographical references and index

Description and Table of Contents

Table of Contents

On matching principles.- Singular perturbations of spectra.- Feed-back control of singularly perturbed heating problems.- Singular perturbation methods in a one-dimensional free boundary problem.- Bifurcation analysis of a non linear free boundary problem from plasma physics.- Asymptotic approximations in magneto-hydrcdynamic singular perturbation problems.- Boundary layers in large scale ocean circulation.- Asymptotic methods for the Volterra-Lotka equations.- Small random perturbations of dynamical systems with applications in population genetics.- The description of jumps between Kepler orbits by boundary layer methods.- The 1:2:1-resonance, its periodic orbits and integrals.- Approximations of higher order resonances with an application to Contopoulos' model problem.- On the asymptotic validity of perturbation methods for hyperbolic differential equations.

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