Structural Stability, the Theory of Catastrophes, and Applications in the Sciences: Proceedings of the Conference Held at Battelle Seattle Research Center 1975

Ralph Abraham (auth.), Peter Hilton (eds.)9780387077918, 0-387-07791-X

Table of contents :
Macroscopy of resonance….Pages 1-9
Simulation of cascades by video feedback….Pages 10-14
Pattern recognition by deformable prototypes….Pages 15-57
Nerve impulse equations….Pages 58-76
Remarks on traveling wave solutions of non-linear diffusion equations….Pages 77-89
The topological degree of a finite C ∞ map germ….Pages 90-98
Constant velocity waves in oscillating chemical reactions….Pages 99-103
Conservative systems and two problems of smale….Pages 104-110
Various catastrophe machines….Pages 111-126
Nerve signaling and spatial stability of wave trains….Pages 127-142
Constrained equations; a study of implicit differential equations and their discontinuous solutions….Pages 143-234
The two-fold way of catastrophe theory….Pages 235-252
(r, s)-stable unfoldings and catastrophe theory….Pages 253-262
The classification of elementary catastrophes of codimension ≤ 5….Pages 263-327
The umbilic bracelet and the double-cusp catastrophe….Pages 328-366
Brain modelling….Pages 367-372
Euler buckling….Pages 373-395
Gastrulation and formation of somites in amphibia and birds….Pages 396-401
Prison disturbances….Pages 402-406