Structural stability, the theory of catastrophes, and applications in the sciences : proceedings of the conference held at Battelle Seattle Research Center, 1975

Bibliographic Information

Structural stability, the theory of catastrophes, and applications in the sciences : proceedings of the conference held at Battelle Seattle Research Center, 1975

edited by P. Hilton

(Lecture notes in mathematics, 525)

Springer-Verlag, 1976

  • : Berlin
  • : New York

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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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