Structural Stability, the Theory of Catastrophes, and Applications in the Sciences : Proceedings of the Conference held at Battelle Seattle Research Center 1975. 1st ed. 1976

種類:

電子ブック

責任表示:

edited by P. Hilton

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1976

著者名:

• Hilton, P.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 525

ISBN:

9783540382546 [3540382542]    

注記:

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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