Singular Perturbations of Bifurcations

DOI10.1137/0133014zbMath0379.35007OpenAlexW2073652676MaRDI QIDQ4159685

Edward L. Reiss, Bernard J. Matkowsky

Publication date: 1977

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0133014

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Nonlinear higher-order PDEs (35G20) Singular perturbations for ordinary differential equations (34E15) Nonlinear operators and their properties (47H99)

Related Items

The perturbation solution of the large elastic curve of buckled bars and the singular perturbation method for its imperfect bifurcation problem, Resonance and phase solitons in spatially-forced thermal convection, Asymptotic Analysis of Forced Nonlinear Sturm-Liouville Systems, Singular perturbation and bifurcation of diffuse transition layers in inhomogeneous media. II, Transition from polar to duplicate patterns, Preferred pattern of convection in a porous layer with a spatially non-uniform boundary temperature, Imperfect bifurcation in the presence of symmetry, Coupled Lorenz oscillators, Nonlinear long-wave stability of superposed fluids in an inclined channel, Equilibrium shapes and stability of captive annular menisci, Local and global aspects of the (1,\(n\)) mode interaction for capillary- gravity waves, Imperfect transcritical and pitchfork bifurcations, An experimental study on the instability of elliptical liquid bridges, The effect of imperfectly insulated sidewalls on natural convection in porous media, Flow in a differentially rotated cylindrical drop at moderate Reynolds number, Buckling of randomly imperfect beams, The effect of distant sidewalls on the transition to finite amplitude Bénard convection—II, Thermal convection with spatially periodic boundary conditions: resonant wavelength excitation, Periodically Perturbed Bifurcation-1. Simple Bifurcation, Subharmonic responses in harmonically excited rectangular plates with one-to-one internal resonance, Qualitative methods in bifurcation theory, On the connection of isolated branches of a bifurcation diagram: the truss arch system, The numerical treatment of perturbed bifurcation problems in ordinary differential equations, The numerical treatment of non-trivial bifurcation points, Qualitative analysis of a model for boundary effects in the Taylor problem, The amplitude equation near the convective threshold: application to time-dependent heating experiments, Perturbed bifurcation theory for Poiseuille annular flow, Flow in a differentially rotated cylindrical drop at low Reynolds number, On the numerical solution of some finite-dimensional bifurcation problems, Localization in the Vibration of an Axially Loaded Two-span Weakened Column, Singular perturbations and time-scale methods in control theory: Survey 1976-1983, Bifurcation analysis near a double eigenvalue of a model chemical reaction, Periodically Perturbed Bifurcation. II. Hopf Bifurcation, On singular perturbation method of perturbed bifurcation problems, Some applications of the singular perturbation method to the bending problems of thin plates and shells, Scattering by penetrable acoustic targets, Imperfection sensitivity of interacting Hopf and steady-state bifurcations and their classification