An asymptotic structure of the bifurcation boundary of the perturbed Painlevé-2 equation

O.M. Kiselev

Chaos, Solitons & Fractals, 2021, vol. 151, issue C

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 analytic and numeric results are given.

Keywords: Bifurcation; Perturbation; Painlevé equation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006536

DOI: 10.1016/j.chaos.2021.111299

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