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

Proceedings of the Conference held at Battelle Seattle Research Center 1975

420 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540077916
• Sprache: Englisch
• Erscheinungsdatum: 19.08.1976
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: P. Hilton