Flows on supporting all links as orbits.
Ghrist, Robert W. (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Ghrist, Robert W. (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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N. Markley, M. Vanderschoot (2000)
Colloquium Mathematicae
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In 1988 Anosov [1] published the construction of an example of a flow (continuous real action) on a cylinder or annulus with a phase portrait strikingly different from our normal experience. It contains orbits whose -limit sets contain a non-periodic orbit along with a simple closed curve of fixed points, but these orbits do not wrap down on this simple closed curve in the usual way. In this paper we modify some of Anosov’s methods to construct a flow on a surface of genus with equally...
Collins, Pieter (2005)
Experimental Mathematics
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de Carvalho, André, Hall, Toby (2002)
Experimental Mathematics
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Roman Srzednicki (1990)
Fundamenta Mathematicae
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Sylvain Crovisier (2006)
Publications Mathématiques de l'IHÉS
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We prove that the chain-transitive sets of C-generic diffeomorphisms are approximated in the Hausdorff topology by periodic orbits. This implies that the homoclinic classes are dense among the chain-recurrence classes. This result is a consequence of a global connecting lemma, which allows to build by a C-perturbation an orbit connecting several prescribed points. One deduces a weak shadowing property satisfied by C-generic diffeomorphisms: any pseudo-orbit is approximated in the Hausdorff...
Krzysztof Ciesielski (2012)
Open Mathematics
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The Poincaré-Bendixson Theorem and the development of the theory are presented - from the papers of Poincaré and Bendixson to modern results.
J. M. Gambaudo, S. Van Strien, C. Tresser (1989)
Annales de l'I.H.P. Physique théorique
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Mogollon, Ramon (1980)
International Journal of Mathematics and Mathematical Sciences
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