Numerical computation of branch points in ordinary differential equations (Q5903002)

This paper deals with the computation of branch points in ordinary differential equations. A direct numerical method is presented which requires the solution of only one boundary value problem. The method handles the general case of branching from a nontrivial solution which is a priori unknown. A testfunction is proposed which may indicate branching if used in continuation methods. Several real-life problems demonstrate the procedure. [This review replaces two earlier citations in Zbl 0396.65023 and Zbl 0413.65063 which both refer to the author's paper in ibid. 33, 339-352 (1979) reviewed in Zbl 0422.65038.]