Collars in PSL.
Kellerhals, Ruth (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Kellerhals, Ruth (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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de la Llave, R., Wayne, C.E. (2004)
Mathematical Physics Electronic Journal [electronic only]
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Fečkan, Michal (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yuan, Xiaoping (2003)
International Journal of Mathematics and Mathematical Sciences
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Nicol, Matthew, Török, Andrei (2007)
Mathematical Physics Electronic Journal [electronic only]
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Salamon, Dietmar A. (2004)
Mathematical Physics Electronic Journal [electronic only]
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Lenci, Stefano, Rega, Giuseppe (2004)
Mathematical Problems in Engineering
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Oliva, Waldyr M., Táboas, Plácido Z. (1997)
Portugaliae Mathematica
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Cazenave, Thierry, Weissler, Fred B. (1995)
Portugaliae Mathematica
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Yakubovich, Semyon B. (2003)
Portugaliae Mathematica. Nova Série
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Wilker, J.B. (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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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...