A topological dynamical system is said to have a semi-horseshoe if there exists a subsystem of its iterates which is topologically semi-conjugate to the full shift. It is shown that several classes of dynamical systems, including partially hyperbolic diffeomorphisms and automorphisms of compact metric abelian groups with positive topological entropy, have semi-horseshoes.

中文翻译：

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存在半双曲形的半马蹄形

如果存在一个迭代的子系统，则该迭代动力学子系统具有半马蹄形，该子系统在拓扑上与全班次半共轭。结果表明，几类动力系统具有半马蹄形，包括部分双曲微分同形和具有正拓扑熵的紧度量阿贝尔群的自同构。