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<p>In this work we study the maximum number of limit cycles in some classes of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. These rigid systems are formed by a linear center plus a homogeneous polynomial of degree 2,&#xa0;3,&#xa0;4,&#xa0;5,&#xa0;6. For these classes of piecewise differential systems we solve the extended 16th Hilbert problem.</p>

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Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月9日

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  • Jaume Llibre,
  • Angela C. T. Sánchez,
  • Durval J. Tonon

摘要

In this work we study the maximum number of limit cycles in some classes of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. These rigid systems are formed by a linear center plus a homogeneous polynomial of degree 2, 3, 4, 5, 6. For these classes of piecewise differential systems we solve the extended 16th Hilbert problem.