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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Displaying similar documents to “Chaos and shadowing around a homoclinic tube.”
Whiskered and low dimensional tori in nearly integrable Hamiltonian systems.
Existence of unstable sets for invariant sets in compact semiflows. Applications in order-preserving semiflows
Peter Poláčik (1990)
Commentationes Mathematicae Universitatis Carolinae
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High dimension diffeomorphisms exhibiting infinitely many strange attractors
Bladismir Leal (2008)
Annales de l'I.H.P. Analyse non linéaire
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On the existence of homoclinic points
Michal Fečkan (1991)
Mathematica Slovaca
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Discretization and Morse-Smale dynamical systems on planar discs.
Garay, B.M. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Transversal intersection of separatrices and branching of solutions as obstructions to the existence of an analitic integral in many-dimensional system. I. Basic results: Separatrices of hyperbolic periodic points.
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...
Homoclinic tangencies and hyperbolicity for surface diffeomorphisms.
Pujals, Enrique R., Sambarino, Martín (2000)
Annals of Mathematics. Second Series
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