A dynamical systems approach to WKB-methods: The simple turning point

K. Uldall Kristiansen, P. Szmolyan

In this paper, we revisit the classical linear turning point problem for the second order differential equation ${\epsilon }^2{x}^{\prime \prime }+\mu (t)x=0$ with $\mu (0)=0,{\mu }^{\prime }(0)\ne 0$ for $0<\epsilon \ll 1$. Writte…