Singularities, bifurcations, and catastrophes

Details Singularities, bifurcations, and catastrophes Singularities, bifurcations, and catastrophes

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983svphu.141..569a&link_type=abstract

(Uspekhi Fizicheskikh Nauk, vol. 141, Dec. 1983, p. 569-590) Soviet Physics - Uspekhi (ISSN 0038-5670), vol. 26, Dec. 1983, p. 1

Physics

Optics

Branching (Mathematics), Catastrophe Theory, Singularity (Mathematics), Wave Fronts, Asymptotic Methods, Caustics (Optics), Cosmology, Data Smoothing, Equilibrium Equations, Mapping, Numerical Stability

Scientific paper

The theories of smooth-mapping singularities and dynamical-system bifurcations are reviewed. Mention is made of the applications to optics (caustic and wave-front metamorphoses) and to theories of short-wave asymptotics, the origin of large-scale structure in the universe, and loss of equilibrium and self-oscillation stability ('catastrophe theory').

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