oriented and standard shadowing properties on closed surfaces

نویسندگان

چکیده

We prove that oriented and standard shadowing properties are equivalent for topological flows on closed surfaces with the nonwandering sets consisting of a finite number critical elements (i.e., singularities or orbits). Moreover, we each isolated singularity flow surface property is either asymptotically stable, backward admits neighborhood which splits into two four hyperbolic sectors.

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2023

ISSN: ['1879-3207', '0166-8641']

DOI: https://doi.org/10.1016/j.topol.2023.108598