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

doi:10.1007/s11425-011-4276-8

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	Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms
	Chen WenXiong 1; Yang MinBo 2,3; Ding YanHeng2
	2011-12-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	54 期号:12 页码:2583-2596
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.
关键词	homoclinic orbits first order discrete Hamiltonian systems super linear critical points
DOI	10.1007/s11425-011-4276-8
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000297735900005
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13099
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.