论文标题
扰动Painlevé-2方程的分叉边界的渐近结构
An asymptotic structure of the bifurcation boundary of the perturbed Painlevé-2 equation
论文作者
论文摘要
扰动的Painlevé-2方程的溶液是描述稳定性软损失的动态分叉的典型特征。分叉边界在分叉前和稳定性丧失之前将不同类型的解决方案分开。这个边界有螺旋结构。获得分叉边界的调制方程，具体取决于扰动。分析结果和数值结果均被给出
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
