SIAM Review, Volume 65, Issue 1, Page 291-315, February 2023.
We revisit a textbook example of a singularly perturbed nonlinear boundary-value problem. Unexpectedly, it shows a wealth of phenomena that seem to have been overlooked previously, including a pitchfork bifurcation in the number of solutions as one varies the small parameter, and transcendentally small terms in the initial conditions that can be calculated by elementary means. Based on our own classroom experience, we believe this problem could provide an enjoyable workout for students in courses on perturbation methods, applied dynamical systems, or numerical analysis.

中文翻译：

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经典边界层问题中的惊喜

SIAM Review，第 65 卷，第 1 期，第 291-315 页，2023 年 2 月。
我们重新审视了奇异扰动非线性边值问题的教科书示例。出乎意料的是，它展示了以前似乎被忽视的大量现象，包括解数中的干草叉分叉，因为一个人改变了小参数，以及初始条件下可以用初等方法计算的超小项。根据我们自己的课堂经验，我们相信这个问题可以为学习微扰方法、应用动力系统或数值分析课程的学生提供愉快的锻炼。