SUPER-EXPONENTIAL GROWTH OF THE NUMBER OF PERIODIC ORBITS INSIDE HOMOCLINIC CLASSES Aim Sciences
نویسندگان
چکیده
We show there is a residual subset S(M) of Diff1(M) such that, for every f ∈ S(M), any homoclinic class of f containing periodic saddles p and q of indices α and β, respectively, where α < β, has superexponential growth of the number of periodic points inside the homoclinic class. Furthermore, it is shown the super-exponential growth occurs for hyperbolic periodic points of index γ inside the homoclinic class for every γ ∈ [α, β].
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