An avoiding cones condition for the Poincare-Birkhoff Theorem

作者：Fonda Alessandro^*; Gidoni Paolo

来源：Journal of Differential Equations, 2017, 262(2): 1064-1084.

DOI：10.1016/j.jde.2016.10.002

• Poincare-Birkhoff Theorem
• Avoiding cones condition
• Hamiltonian systems
• Periodic solutions

We provide a geometric assumption which unifies and generalizes the conditions proposed in [11,12], so to obtain a higher dimensional version of the Poincare-Birkhoff fixed point Theorem for Poincare maps of Hamiltonian systems.

• 出版日期2017-1-15