Abstract
We prove that the non-wandering set of an hyperbolic topologically transitive dynamical system whose basis space is an infinite non perfect set, is the union of two disjoint orbits.
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References
BOWEN, R. "Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms". Lecture Notes in Mathematics, Springer 470 (1975).
DENKER, M.; GRILLENBERG, C.: SIGMUND, K. "Ergodic Theory on Compact Spaces". Lecture Notes in Mathematics, Springer 527 (1976).
MARTINEZ, S. "Characterization of Reducible Matrices Defining Topologically Transitive Subshifts". Preprint (1981).
RUELLE, D. "A measure associated with Axiom A attractors". Amer. Journal of Math. 98 (1976), 619–654.
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© 1983 Springer-Verlag
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Servet Martínez, A. (1983). Hyperbolic dynamical systems with isolated points. In: Palis, J. (eds) Geometric Dynamics. Lecture Notes in Mathematics, vol 1007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061434
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DOI: https://doi.org/10.1007/BFb0061434
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