The periodic orbit structure of orientation preserving diffeomorphisms on D2 with topological entropy zero
J. M. Gambaudo, S. Van Strien, C. Tresser (1989)
Annales de l'I.H.P. Physique théorique
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J. M. Gambaudo, S. Van Strien, C. Tresser (1989)
Annales de l'I.H.P. Physique théorique
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Barrabés, Esther, Juher, David (2005)
International Journal of Mathematics and Mathematical Sciences
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Lluis Alsedà, J. Llibre, M. Misiurewicz, C. Tresser (1989)
Annales de l'institut Fourier
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We characterize the set of periods and its structure for the Lorenz-like maps depending on the rotation interval. Also, for these maps we give the best lower bound of the topological entropy as a function of the rotation interval.
de Carvalho, André, Hall, Toby (2002)
Experimental Mathematics
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Boju Jiang (1999)
Banach Center Publications
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In this talk, we shall look at the application of Nielsen theory to certain questions concerning the "homotopy minimum" or "homotopy stability" of periodic orbits under deformations of the dynamical system. These applications are mainly to the dynamics of surface homeomorphisms, where the geometry and algebra involved are both accessible.
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...
Oscar E. Lanford III (1980-1981)
Séminaire Bourbaki
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Jérôme Los (1997)
Publications Mathématiques de l'IHÉS
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Virpi Kauko (2000)
Fundamenta Mathematicae
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We discuss the tree structures of the sublimbs of the Mandelbrot set M, using internal addresses of hyperbolic components. We find a counterexample to a conjecture by Eike Lau and Dierk Schleicher concerning topological equivalence between different trees of visible components, and give a new proof to a theorem of theirs concerning the periods of hyperbolic components in various trees.