Structural Stability, the Theory of Catastrophes, and Applications in the Sciences
Structural Stability, the Theory of Catastrophes, and Applications in the Sciences Proceedings of the Conference Held at Battelle Seattle Research Center 1975 / [electronic resource] :
edited by Peter Hilton.
- VIII, 416 p. online resource.
- Lecture Notes in Mathematics, 525 0075-8434 ; .
- Lecture Notes in Mathematics, 525 .
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.
9783540382546
10.1007/BFb0077839 doi
Mathematics.
Mathematics, general.
QA1-939
510
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.
9783540382546
10.1007/BFb0077839 doi
Mathematics.
Mathematics, general.
QA1-939
510