An asymptotic structure of the bifurcation boundary of the perturbed Painlevé-2 equation
arXiv:2012.07895 · doi:10.1016/j.chaos.2021.111299
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
14 pages, 11 figures