English

Melnikov method for autonomous Hamiltonians

Dynamical Systems 2008-02-03 v1

Abstract

The web page contains both the dvi and postscript version of the paper. 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.

Cite

@article{arxiv.math/9604239,
  title  = {Melnikov method for autonomous Hamiltonians},
  author = {Clark Robinson},
  journal= {arXiv preprint arXiv:math/9604239},
  year   = {2008}
}