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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2002 033 (Mi ipmp1007)

Singularities and bifurcations of wave front of an ellipse

L. D. Pustyl'nikov


Abstract: Rigorous proofs, justifying all bifurcations of wave front of an ellipse with indication of explicit and asymptotic expressions for all singularities and critical values of parameter, are given. As consequences, we obtain topological theorems on the number of intersection points and on global disposition of these points and a front for each bifurcation.



© Steklov Math. Inst. of RAS, 2025