"Melnikov Method for Autonomous Hamiltonians"

This paper presents the method of applying the Melnikov method to autonomous Hamiltonian systems in dimension four. Besides giving an application to Celestial Mechanics, it discusses the problem of convergence of the Melnikov function and the derivative of the Melnikov function.

This paper has been accepted to appear in a volume fo Contemporary Mathematics to be edited by Saari and Xia.

It is available in the following formats:

Return to list of Clark Robinson's Preprints