Birth of step-like contrast structures connected with a cusp catastrophe

DOI10.1070/SM2004v195n12ABEH000863zbMath1129.35387OpenAlexW2026062660MaRDI QIDQ5693794

A. M. Il'in, B. I. Sulejmanov

Publication date: 28 September 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2004v195n12abeh000863

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Catastrophe theory (58K35) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (4)

ON SOME NUMERICAL INTEGRATION CURVES FOR PDE IN NEIGHBORHOOD OF "BUTTERFLY" CATASTROPHE POINT ⋮ Asymptotic problem for second-order ordinary differential equation with nonlinearity corresponding to a butterfly catastrophe ⋮ Parabolic regularization of the gradient catastrophes for the Burgers–Hopf equation and Jordan chain ⋮ Asymptotics of a solution of a three-dimensional nonlinear wave equation near a butterfly catastrophe point

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