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Abstract <p>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 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{\mathbb{R}}^{3}}\)</EquationSource> <!--RusMath2670009Azamov-m1--> </InlineEquation> whose the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\omega \)</EquationSource> <!--RusMath2670009Azamov-m2--> </InlineEquation>-limit set is an infinite cylinder.</p>

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On the Analytic System Whose Limit Set Is an Unbounded Cylinder

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • A. A. Azamov,
  • D. Kh. Ruzimuradova

摘要

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.