Mel'nikov method revisited

dc.creatorCicogna, G.
dc.creatorSantoprete, M.
dc.date2002-02-27
dc.date.accessioned2026-07-07T06:26:05Z
dc.date.available2026-07-07T06:26:05Z
dc.descriptionWe 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.
dc.descriptionLaTeX, no figures
dc.identifierhttps://arxiv.org/abs/nlin/0202060
dc.identifierhttp://arxiv.org/abs/nlin/0202060
dc.identifierRegular and Chaotic Dynamics (Russia) 6, no. 4, 377-387 (2001)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97010
dc.subjectChaotic Dynamics
dc.titleMel'nikov method revisited
dc.typetext

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