Titlebook: Singularity Theory and its Applications; Warwick 1989, Part I Mark Roberts,Ian Stewart Conference proceedings 1991 Springer-Verlag Berlin H

GROSS

Scaling Laws and Bifurcation,similar to the equivariance condition except that it also involves the parameters of the problem. We derive a natural context for the existence of such scaling laws based on the symmetry of the problem and show how bifurcation points can also be related by a scaling. This leads in some cases, to a p

謙卑

鳥籠

Boundary conditions as symmetry constraints,mann boundary conditions can be viewed as restrictions of similar problems with periodic boundary conditions; and that this extension reveals the presence of additonal symmetry constraints which affect the generic bifurcation phenomena. We show that, more generally, similar observations hold for mul

懸崖

Insulin

On a codimension-four bifurcation occurring in optical bistability,ity has codimension four and appears in the mean field equations underlying optically bistable systems. We discuss the singularities of codimension smaller than four that occur as subsidiary bifurcations of the unfolding and present a two-dimensional section through the stability diagram.

Misnomer

膽小鬼

Kinetic

Nutrient

Deadpan