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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Mel'nikov Method Revisited
G. Cicognaa, M. Santopreteb a Dip. di Fisica ''E.Fermi'' and I.N.F.N., Sez. di Pisa,
Via Buonarroti 2, Ed. B, I-56127, Pisa, Italy
b Dept. of Mathematics and Statistics, University of Victoria,
P.O. Box 3045, Victoria B.C., Canada, V8W 3P4
Аннотация:
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. These peculiarities may clearly make this approach of great interest in celestial mechanics, as shown by some classical examples.
Поступила в редакцию: 31.10.2001
Образец цитирования:
G. Cicogna, M. Santoprete, “Mel'nikov Method Revisited”, Regul. Chaotic Dyn., 6:4 (2001), 377–387
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd852 https://www.mathnet.ru/rus/rcd/v6/i4/p377
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