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<p>In this paper we provide the stability of generic polycycles of hybrid planar vector fields, extending previous known results in the literature. The polycycles considered here may have hyperbolic saddles, tangential singularities and jump singularities.</p>

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On the Stability of Hybrid Polycycles

  • 期刊论文

  • 发表日期：

    2025年2月24日

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  • Paulo Santana,
  • Leonardo Serantola

摘要

In this paper we provide the stability of generic polycycles of hybrid planar vector fields, extending previous known results in the literature. The polycycles considered here may have hyperbolic saddles, tangential singularities and jump singularities.