An avoiding cones condition for the Poincaré-Birkhoff Theorem

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• 作者：Alessandro Fonda^a ; ^{a.fonda@units.it" class="auth_mail" title="E-mail the corresponding author} ; Paolo Gidoni^b ; ^{pgidoni@sissa.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：34C25 ; 37C27
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：262
• 期：2
• 页码：1064-1084
• 全文大小：367 K

文摘

We provide a geometric assumption which unifies and generalizes the conditions proposed in  and , so to obtain a higher dimensional version of the Poincaré–Birkhoff fixed point Theorem for Poincaré maps of Hamiltonian systems.