Vladimir Arnold - Collected Works: Singularities in Symplectic and Contact Geometry 1980-1985

1 Statistics of integral convex polygons.- 2 On some problems in singularity theory .- 3 On some nonlinear problems.- 4 The problems proposed at the Second International Conference of alumni of Moscow State University (Faculty of Mechanics and Mathematics) on the topic "Differential Equations and Their Applications".- 5 Lagrange and Legendre cobordisms. I.- 6 Lagrange and Legendre cobordisms. II.- 7 Sweeping a caustic by a caspidal edge of a moving front.- 8 Singularities of Legendre varieties, of evolvents and of fronts at an obstacle.- 9 Elements of the large-scale structure of the universe (with Ya.B. Zeldovich and S.F. Shandarin).- 10 The large-scale structure of the Universe. I. General properties. One- and two-dimensional models (with S.F. Shandarin and Ya.B. Zeldovich).- 11 Evolution of singularities of potential flows in collision-free media and the metamorphosis of caustics in three-dimensional space.- 12 On the Newtonian potential of hyperbolic layers.- 13 On the Newtonian attraction of clusters of dust-like particles.- 14 Some algebro-geometrical aspects of the Newton attraction theory.- 15 Magnetic analogues of Newton's and Ivory's theorems.- 16 Some remarks on elliptic coordinates.- 17 Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail.- 18 Asymptotic rays in symplectic geometry (in Russian).- 19 Singularities of systems of rays.- 20 Singularities of ray systems.- 21 Singularities in variational calculus.- 22 Singularities in variational calculus.- 23 Singularities, bifurcations, and catastrophes.- 24 Singularities of functions, wave fronts, caustics and multidimensional integrals (with A.N. Varchenko, A.B. Givental, and A.G. Khovanskii).- 25 Remarks on the perturbation theory for problems of Mathieu type.- 26 Vanishing inflections.- 27 Appendix A to the paper: B.A. Malomed and M.I. Tribelsky "Bifurcations in distributed kinetic systems with aperiodic instability".- 28 Reversible systems.- 29 Oscillations and bifurcations in reversible systems (with M.B. Sevryuk).- 30 The period map and Poisson structures.- 31 Frontier problems.- 32 Preface to the book "Selected Works by Hermann Weyl" (with A.N. Parshin).- 33 Comments to the paper "Das asymptotische Verteilungsgesetz der Eigenschwingungen eines beliebig gestalteten elastischen Koerpers" by Hermann Weyl (with A.N. Parshin).- 34 Comments to the paper "On the volume of tubes" by Hermann Weyl.- 35 Classical mechanics.- 36 Superpositions.