A Degenerate Bifurcation In The Hénon-Heiles Family

作者: Heinz Hanßmann , Britta Sommer

DOI: 10.1023/A:1013252302027

关键词: Degeneracy (mathematics)Mathematical physicsMathematicsDegenerate energy levelsSaddle-node bifurcationCombinatoricsBifurcationSeparable space

摘要: The normalised Henon–Heiles family exhibits a degenerate bifurcation when passing through the separable case ‘β = 0’. We clarify relation between this degeneracy and integrability at β = 0. Furthermore we show that carries over to itself.

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