num_pages: 424
description: 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.
language: English
title: Structural Stability, the Theory of Catastrophes, and Applications in the Sciences: Proceedings of the Conference held at Battelle Seattle Research Center 1975
titlecomplete: Structural Stability, the Theory of Catastrophes, and Applications in the Sciences: Proceedings of the Conference held at Battelle Seattle Research Center 1975 (Lecture Notes in Mathematics, 525)
publisher: Springer