2020
DOI: 10.48550/arxiv.2012.07895
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An asymptotic structure of the bifurcation boundary of the perturbed Painlevé-2 equation

O. M. Kiselev

Abstract: Solutions of the perturbed Painlevé-2 equation are typical for describing a dynamic bifurcation of soft loss of stability. The bifurcation boundary separates solutions of different types before bifurcation and before loss of stability. This border has a spiral structure. The equations of modulation of the bifurcation boundary depending on the perturbation are obtained. Both analytical and numerical results are given.

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