摘要
For the detection and study of chaotic motions in a two-dimensional autonomous system subject to external periodic forcing, Melnikov’s method is one of a few analytical methods. In recent years, Chow et al. and J. P. Keener have obtained independently similar results using the alternative method and the perturbation method. In this note, we will make use of the above techniques to study small periodic perturbation of the planar quadratic Hamiltonian system in which a continuous
