Global surfaces of section in non-regular convex energy levels of Hamiltonian systems

被引：0

作者：

C. Grotta-Ragazzo

Pedro A. S. Salomão

机构：

[1] Universidade de São Paulo,Instituto de Matemática e Estatística

来源：

Mathematische Zeitschrift | 2007年 / 255卷

关键词：

Hamiltonian systems; Global surface of section; Convexity; Saddle-center; Two-degrees of freedom;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we prove the existence of global sections of disk-type in non-regular and strictly convex energy levels of integrable and near-integrable Hamiltonian systems with two degrees of freedom. This extends a result of (Hofer et al. in Ann. Math.(2) 148(1):197–289, 1998) where the same statement is true provided the energy level is regular.

引用

页码：323 / 334

页数：11

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