Structural stability, the theory of catastrophes, and applications in the sciences : proceedings of the conference held at Battelle Seattle Research Center, 1975
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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)
Springer-Verlag, 1976
- : Berlin
- : New York
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Note
Includes bibliographies
Description and Table of Contents
Table of Contents
- 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.
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