In this review we discuss bifurcation theory in a Banach space setting using the singularity
theory developed by Golubitsky and Schaeffer to classify bifurcation points. The numerical …

It seems doubtful whether we can expect to understand fully the instability of fluid flow
without obtaining a mathematical representa tion of the motion of a fluid in some particular …

There are nearly 1500 references in the following list. The size of this list might have two
consequences. First, a student undertaking research in this subject could feel daunted by …

A higher harmonic resonance with wavenumber ratio of 1: 3 is found to take place in
Rayleigh-Bénard convection under rigid-rigid boundary conditions. Bifurcation diagrams for …

A twofold nonlinear solution branch with the fundamental wave number outside the neutral
curve is found numerically to connect two Eckhaus points in two-dimensional Rayleigh …

Nonlinear higher harmonic resonances have been investigated on a weakly nonlinear basis
for free convection between vertical parallel plates with different uniform temperatures. It is …

We propose a pseudo-arclength continuation algorithm for computing paths of Z 2-symmetry-
breaking bifurcation points for two-parameter nonlinear elliptic problems. The algorithm …

Numerically obtained solution diagrams for Taylor vortex flows look quite asymmetric. In this
review of the nonlinear interaction of stationary 2-vortex solutions with stationary 4-vortex …

A Global Analysis of Secondary Bifurcations in the Benard Problem and the Relationship
between the Benard and Taylor Problems :: MPG.PuRe English Help Privacy Policy Disclaimer …