Structural Stability, the Theory of Catastrophes, and Applications in the Sciences

Macroscopy of resonance.- Simulation of cascades by video feedback.- Pattern recognition by deformable prototypes.- Nerve impulse equations.- Remarks on traveling wave solutions of non-linear diffusion equations.- The topological degree of a finite C? map germ.- Constant velocity waves in oscillating chemical reactions.- Conservative systems and two problems of smale.- Various catastrophe machines.- Nerve signaling and spatial stability of wave trains.- Constrained equations; a study of implicit differential equations and their discontinuous solutions.- The two-fold way of catastrophe theory.- (r, s)-stable unfoldings and catastrophe theory.- The classification of elementary catastrophes of codimension ? 5.- The umbilic bracelet and the double-cusp catastrophe.- Brain modelling.- Euler buckling.- Gastrulation and formation of somites in amphibia and birds.- Prison disturbances.