Mel'nikov method revisited
Chaotic Dynamics
2007-05-23 v1
Abstract
We illustrate a completely analytic approach to Mel'nikov theory, which is based on a suitable extension of a classical method, and which is parallel and -- at least in part -- complementary to the standard procedure. This approach can be also applied to some ``degenerate'' situations, as to the case of nonhyperbolic unstable points, or of critical points located at the infinity (thus giving rise to unbounded orbits, e.g. the Keplerian parabolic orbits), and it is naturally ``compatible'' with the presence of general symmetry properties of the problem.
Cite
@article{arxiv.nlin/0202060,
title = {Mel'nikov method revisited},
author = {G. Cicogna and M. Santoprete},
journal= {arXiv preprint arXiv:nlin/0202060},
year = {2007}
}
Comments
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