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<p>We consider planar Hamiltonian systems with Hamiltonian function of the type <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(H(x,y)=F(y)+G(x)\)</EquationSource> </InlineEquation> having the origin as a global center, and generalize to this setting some known results on the period map. We are thus led to a characterization of isochronism for scalar second order equations involving the <i>p</i>-Laplacian operator.</p>

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On the period map of planar Hamiltonian systems with separated variables

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月16日

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  • Alessandro Fonda,
  • Maurizio Garrione,
  • Andrea Sfecci

摘要

We consider planar Hamiltonian systems with Hamiltonian function of the type \(H(x,y)=F(y)+G(x)\) having the origin as a global center, and generalize to this setting some known results on the period map. We are thus led to a characterization of isochronism for scalar second order equations involving the p-Laplacian operator.