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

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  • Kiselev, O.M.

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.

Suggested Citation

  • Kiselev, O.M., 2021. "An asymptotic structure of the bifurcation boundary of the perturbed Painlevé-2 equation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006536
    DOI: 10.1016/j.chaos.2021.111299
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