http://orcid.org/0000-0002-2115-4936
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ABSTRACT
The modern qualitative theory of dynamical systems is thoroughly intertwined with the fairly young science of topology. Many strange constructions of topology are found sooner or later in dynamics of discrete or continuous dynamical systems. In the present paper, we show that the wild Fox–Artin arc emerges naturally in invariant sets of dynamical systems.
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Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
The research of the first author was conducted at the Laboratory of Algorithms and Technologies for Network Analysis of National Research University Higher School of Economics. The research in sections 2 and 3 was supported by the Russian Science Foundation [project number 17-11-01041], the research in section 4 was supported by the Fundamental Research Program at the HSE [project number 95] in 2018.