Rescaling of Markov shifts.
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Ward, Thomas B. (1996)
Acta Mathematica Universitatis Comenianae. New Series
J. M. Aroca Hernández Ros (1988)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Jaume Llibre, Radu Saghin (2009)
Fundamenta Mathematicae
Let f be a continuous map on a compact connected Riemannian manifold M. There are several ways to measure the dynamical complexity of f and we discuss some of them. This survey contains some results and open questions about relationships between the topological entropy of f, the volume growth of f, the rate of growth of periodic points of f, some invariants related to exterior powers of the derivative of f, and several invariants measuring the topological complexity of f: the degree (for the case...
A. G. O’Farrell, I. Short (2009)
Publicacions Matemàtiques
Jordan, C.R., Jordan, D.A., Jordan, J.H. (2002)
Experimental Mathematics
F. Przytycki (1986)
Inventiones mathematicae
M. Ratner (1987)
Inventiones mathematicae
Frédéric Touzet (2003)
Publicacions Matemàtiques
Using the description of non solvable dynamics by Nakai, we give in this paper a new proof of the rigidity properties of some sub-groups of Diff(C, O). The Cinfinity case is also considered here.
Étienne Ghys (1993)
Publications Mathématiques de l'IHÉS
J. Palis, J.-C. Yoccoz (1989)
Annales scientifiques de l'École Normale Supérieure
Lennard F. Bakker (2008)
Colloquium Mathematicae
For quasiperiodic flows of Koch type, we exploit an algebraic rigidity of an equivalence relation on flows, called projective conjugacy, to algebraically characterize the deviations from completeness of an absolute invariant of projective conjugacy, called the multiplier group, which describes the generalized symmetries of the flow. We then describe three ways by which two quasiperiodic flows with the same Koch field are projectively conjugate when their multiplier groups are identical. The first...
Bruin, Henk, Hawkins, Jane (2009)
The New York Journal of Mathematics [electronic only]
Einsiedler, Manfred, Lindenstrauss, Elon (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Yasuaki Hiraoka (2007)
Kybernetika
We propose a new rigorous numerical technique to prove the existence of symmetric homoclinic orbits in reversible dynamical systems. The essential idea is to calculate Melnikov functions by the exponential dichotomy and the rigorous numerics. The algorithm of our method is explained in detail by dividing into four steps. An application to a two dimensional reversible system is also treated and the existence of a symmetric homoclinic orbit is rigorously verified as an example.
David Ruelle (1985)
Annales de l'I.H.P. Physique théorique
Philip Boyland (1992)
Commentarii mathematici Helvetici
Henri Moscovici, Robert J. Stanton (1991)
Inventiones mathematicae
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