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：
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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.
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页码：323 / 334
页数：11
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