Weak Horseshoe with bounded-gap-hitting times
Abstract
In this paper, we consider weak horseshoe with bounded-gap-hitting times. For a flow (M,φ), it is shown that if the time one map (M,φ1) has weak horseshoe with bounded-gap-hitting times, so is (M,φτ) for all τ≠ 0. In addition, we prove that for an affine homeomorphsim of a compact metric abelian group, positive topological entropy is equivalent to weak horseshoe with bounded-gap-hitting times.
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