共振条件下扰动等时哈密顿系统周期解的多解性

INFINITY OF PERIODIC SOLUTIONS OF PERTURBED ISOCHRONOUS HAMILTONIAN SYSTEMS

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摘要运用拓扑度方法,给出了扰动等时哈密顿系统Jz′=▽H(z)+f(z)+p(t)周期解的多解性. A new result, by means of the topological degree approach, is given for infinity of periodicsolutions of perturbed isochronous Hamiltonian system Jz′=△H（z）＋f（z）＋p（t）

作者马田田

机构地区北京师范大学数学科学学院

出处《北京师范大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第5期443-444,共2页 Journal of Beijing Normal University(Natural Science)

基金中国博士后基金资助项目(2012M510341) 北京市自然科学基金资助项目(1112006)

关键词扰动等时哈密顿系统共振周期解拓扑度 perturbed isochronous Hamiltonian system resonance periodic solution topological degree

分类号 O175.1 [理学—基础数学]

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北京师范大学学报（自然科学版）

2013年第5期

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共振条件下扰动等时哈密顿系统周期解的多解性

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