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arXiv · 2012.07895

An asymptotic structure of the bifurcation boundary of the perturbed Painlev\'e-2 equation

O. M. Kiselev
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Abstract

Solutions of the perturbed Painlev\'e-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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BibTeXRIS

O. M. Kiselev. 2020-12-14. An asymptotic structure of the bifurcation boundary of the perturbed Painlev\'e-2 equation. https://doi.org/10.1016/j.chaos.2021.111299

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