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Abstract <p>The paper implements degenerate bifurcations of Liouville tori of systems with two degrees of freedom at a fixed energy and provided that there is no more than one special layer of the type (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11970_2025_7201_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(p\)</EquationSource> <!--BMatMGU2570025Kuznetsova-m1--> </InlineEquation>,<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11970_2025_7201_Article_IEq2.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(q\)</EquationSource> <!--BMatMGU2570025Kuznetsova-m2--> </InlineEquation>) in the corresponding Seifert fiber space.</p>

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Billiard Implementation of Non-Bott Singularities of Integrable Hamiltonian Systems Having at Most One Special Layer of the Seifert Fiber Space

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • A. A. Kuznetsova

摘要

Abstract

The paper implements degenerate bifurcations of Liouville tori of systems with two degrees of freedom at a fixed energy and provided that there is no more than one special layer of the type ( \(p\) , \(q\) ) in the corresponding Seifert fiber space.