Abstract

1. V. I. Arnold, Wave front evolution and equivariant Morse lemma, Commun. Pure Appl. Math., 39, No. 6, 557-582 (1976). 2. V. I. Arnol'd, Theory of catastrophes, Priroda, No. 10, 54-63 (1979). 3. V. I. Arnol'd, Normal forms of functions near degenerate critical points, Weyl groups, and Lagrangian singularities, Funkts. Analiz, 6, No. 4, 3-25 (1972). 4. V. I. Arnol'd, Mathematical Methods of Classica~ Mechanics [in Russian], Moscow (1974). 5. V. I. Arnol'd, Indices of singular points of l-forms on a manifold with boundary, displacement of invariants of groups generated by reflections, and singular projections of smooth surfaces, Usp. Mat. Nauk, 34, No. 2, 3-38 (1979). 6. T. Brecker and L. Lander, Differentiable Germs and Catastrophes [Russian translation], Mir, Moscow (1977). 7. S.M. Voronin, Analytic classification of germs of conformal maps (C, O) + (C, O) with linear part the identity, Funkts. Analiz, 15, No. 2, 10-30 (1981). 8. Ya. B. Zel'dovich, Disintegration of homogeneous matter into parts under the action of gravity, Astrofizika, 6, No. 2, 319-335 (1970). 9. Ya. B. Zeldovich, Gravitational instability: an approximate theory for large density perturbations, Astron. Astrophys., 5, 84-89 (1970). 10. O. V. Lyashko, Geometry of bifurcation diagrams, Usp. Mat. Nauk, 34, No. 4, 205-206 (1970). 11. H. Whitney, The general type of singularity of a set of 2n -I smooth functions of n variables, Duke Math. J., 45, 220-283 (1944).

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