A commentary ``On the periodic solutions of a forced second-order equation'' by S. P. Hastings and J. B. McLeod
In this short note, the authors comment on the relationship of the analytical methods (shooting and perturbation) used by Hastings and McLeod in the paper ``On the periodic solutions of a forced second-order equation'' [ibid. 225-245 (1991; Zbl 0801.34040)] to the geometrical approach of nonlinear dynamical systems theory. Their bridge between analysis and geometry is a global perturbation method known as Melnikov's method. Some questions arising from the methods of Hastings and McLeod and their relationship to the more geometrical methods of dynamical systems theory are given by the authors.
scientific article; zbMATH DE number 563419
scientific article