Mathematics – Dynamical Systems
Scientific paper
2006-01-23
Mathematics
Dynamical Systems
33 pages, 6 figures
Scientific paper
10.1088/0951-7715/19/11/009
In this paper we consider horseshoes containing an orbit of homoclinic
tangency accumulated by periodic points. We prove a version of the Invariant
Manifolds Theorem, construct finite Markov partitions and use them to prove the
existence and uniqueness of equilibrium states associated to H\"older
continuous potentials.
Leplaideur Renaud
Rios Isabel
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