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

Proceedings of the Conference held at Battelle Seattle Research Center 1975
Herausgegeben:Hilton, P.

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 525
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-07791-6
• 1976
• Seitenzahl: 420
• Erscheinungstermin: 19. August 1976
• Englisch
• Abmessung: 235mm x 155mm x 23mm
• Gewicht: 631g
• ISBN-13: 9783540077916
• ISBN-10: 354007791X
• Artikelnr.: 23523521

Inhaltsangabe

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.