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

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