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<p>We consider planar differential systems whose lowest-degree homogeneous term is quadratic, and we characterize those systems that possess an algebraic local first integral.</p>

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Algebraic Integrability of Perturbations of Quadratic Vector Fields

  • 期刊论文

  • 发表日期：

    2025年11月28日

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  • Antonio Algaba,
  • Jaume Giné,
  • Manuel Reyes

摘要

We consider planar differential systems whose lowest-degree homogeneous term is quadratic, and we characterize those systems that possess an algebraic local first integral.