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<p>In this paper, we give a full description of all possible singular points that occur in generic 2-parameter families of vector fields on compact 2-manifolds. This is a part of a large project aimed at a complete study of global bifurcations in two-parameter families of vector fields on the two-sphere.</p>

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Singular Points in Generic Two-Parameter Families of Vector Fields on a 2-Manifold

  • 期刊论文

  • 发表日期：

    2025年4月7日

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  • Dmitry A. Filimonov,
  • Yulij S. Ilyashenko

摘要

In this paper, we give a full description of all possible singular points that occur in generic 2-parameter families of vector fields on compact 2-manifolds. This is a part of a large project aimed at a complete study of global bifurcations in two-parameter families of vector fields on the two-sphere.