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Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms

文献类型：期刊论文

作者Chen WenXiong1; Yang MinBo2,3; Ding YanHeng2
刊名SCIENCE CHINA-MATHEMATICS
出版日期2011-12-01
卷号54期号:12页码:2583-2596
关键词homoclinic orbits first order discrete Hamiltonian systems super linear critical points
ISSN号1674-7283
DOI10.1007/s11425-011-4276-8
英文摘要In this paper we consider the first order discrete Hamiltonian systems {x(1)(n + 1) - x(1)(n) = - H(x2) (n, x(n)), x(2)(n) - x(2)(n - 1) = H(x1) (n, x(n)), where x(n) = ((x1(n))(x2(n)) is an element of R(2N), H(n, z) = 1/2 S(n) z . z + R(n, z) is periodic in n and superlinear as |z| -> infinity. We prove the existence and infinitely many (geometrically distinct) homoclonic orbits of the system by critical point theorems for strongly indefinite functionals.
资助项目Science Foundation of Huaqiao University ; Natural Science Foundation of Zhejiang Province[Y7080008] ; National Natural Science Foundation of China[11101374] ; National Natural Science Foundation of China[10971194] ; National Natural Science Foundation of China[10831005]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000297735900005
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/13098]  
专题数学所
通讯作者Chen WenXiong
作者单位1.Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
3.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
推荐引用方式
GB/T 7714		 Chen WenXiong,Yang MinBo,Ding YanHeng. Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms[J]. SCIENCE CHINA-MATHEMATICS,2011,54(12):2583-2596.
APA Chen WenXiong,Yang MinBo,&Ding YanHeng.(2011).Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms.SCIENCE CHINA-MATHEMATICS,54(12),2583-2596.
MLA Chen WenXiong,et al."Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms".SCIENCE CHINA-MATHEMATICS 54.12(2011):2583-2596.

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来源：数学与系统科学研究院

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