Two Action-Angle Surprises on the Sphere

• Bates, Larry ^[1] ; Cushman, Richard ^[1]
  1. [1] University of Calgary

     University of Calgary

     Canadá

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 1, 2021
• Idioma: inglés
• DOI: 10.1007/s12346-020-00438-6
• Enlaces
  • Texto completo
• Resumen

  • The linearized Poincaré map of a periodic orbit of a completely integrable Hamiltonian system is examined in the light of the finer description we get by using coordinate changes in the Lagrangian odd symplectic group. In particular, we obtain non-eigenvalue invariants called moduli. These invariants are surprisingly subtle to calculate even in the case of the geodesic flow on a 2-sphere, and reveal dynamic-geometric information that is otherwise symplectically invisible.

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