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Reeb flows form a prominent class of Hamiltonian systems on regular energy levels. Since these flows have no singularities, the most basic dynamical objects are the periodic orbits. In this paper, we survey some results on the multiplicity, stability and symmetry of periodic orbits of Reeb flows without assuming generic conditions.

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Multiplicity, Stability and Symmetry of Periodic Orbits of Reeb Flows

  • 会议论文

  • 发表日期：

    2025年

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  • Leonardo Macarini

摘要

Reeb flows form a prominent class of Hamiltonian systems on regular energy levels. Since these flows have no singularities, the most basic dynamical objects are the periodic orbits. In this paper, we survey some results on the multiplicity, stability and symmetry of periodic orbits of Reeb flows without assuming generic conditions.