Subharmonic Solutions of Planar Hamiltonian Systems: a Rotation Number Approach

被引：0
|
作者：
Boscaggin, Alberto [1 ]
机构：
[1] SISSA ISAS, Int Sch Adv Studies, I-34136 Trieste, Italy
来源：
ADVANCED NONLINEAR STUDIES | 2011年 / 11卷 / 01期
关键词：
Subharmonic solutions; Poincare-Birkhoff theorem; Rotation number; POINCARE-BIRKHOFF THEOREM; 2ND-ORDER DIFFERENTIAL-EQUATIONS; ASYMMETRIC NONLINEARITIES; PERIODIC-SOLUTIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of infinitely many subharmonic solutions, with prescribed nodal properties, for a planar Hamiltonian system Jz' = del(z)H(t, z), with H periodic in the first variable. The goal is achieved by performing estimates of the rotation numbers with respect to deformed polar coordinates and applying Ding's version of the Poincare-Birkhoff fixed point theorem.
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页码：77 / 103
页数：27
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