On the Analytic System Whose Limit Set Is an Unbounded Cylinder
A. A. AzamovRomanovskiy Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, 100174, Olmazor, UzbekistanD. Kh. RuzimuradovaRomanovskiy Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, 100174, Olmazor, Uzbekistan
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Abstract
We consider the problem of topological structure of limit sets of dynamical systems and construct an example of a smooth dynamical system in the space $${{\mathbb{R}}^{3}}$$ whose the $$\omega $$ -limit set is an infinite cylinder.
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