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)

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 This is a progress report on an experimental program, begun a year ago, in the exploration of resonant furcations (= catastrophes) by analog simulation and direct observation - the macroscope program