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On the analytic system whose limit set is an unbounded cylinder

A. A. AzamovV.I. Romanovskiy Institute of Mathematics of the Academy of Sciences of the Republic of UzbekistanD. Kh. RuzimuradovaV.I. Romanovskiy Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan
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We consider a problem concerning the topological structure of limit sets of dynamical systems and construct an example of a smooth dynamical system in three-dimensional space whose omega-limit set is an infinite cylinder.

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