Article

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

Izvestiya Vysshikh Uchebnykh Zavedenii Matematikajournal2026

ABI

Abstract

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.

Topics

Mathematical Dynamics and Fractals Advanced Differential Equations and Dynamical Systems Analytic and geometric function theory

Identifiers

DOI: 10.26907/0021-3446-2026-2-3-8

Citations and references

Cited by 08 references

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