Whiskered and low dimensional tori in nearly integrable Hamiltonian systems.
de la Llave, R., Wayne, C.E. (2004)
Mathematical Physics Electronic Journal [electronic only]
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de la Llave, R., Wayne, C.E. (2004)
Mathematical Physics Electronic Journal [electronic only]
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Peter Poláčik (1990)
Commentationes Mathematicae Universitatis Carolinae
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Bladismir Leal (2008)
Annales de l'I.H.P. Analyse non linéaire
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Michal Fečkan (1991)
Mathematica Slovaca
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Garay, B.M. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Sergei A. Dovbysh (1999)
Collectanea Mathematica
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It is well-known that the existence of transversally intersecting separatrices of hyperbolic periodic solutions leads, in a typical situation, to complicated and irregular dynamics. Therefore, in the case of a two-dimensional mapping or a three-dimensional flow, with this transversality property, there is no non-trivial analytic or meromorphic first integral, i.e., a function constant along each trajectory of the system under consideration. Additional robust conditions are obtained and...
Pujals, Enrique R., Sambarino, Martín (2000)
Annals of Mathematics. Second Series
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