Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms | |
Chen WenXiong1; Yang MinBo2,3; Ding YanHeng2 | |
2011-12-01 | |
Source Publication | SCIENCE CHINA-MATHEMATICS |
ISSN | 1674-7283 |
Volume | 54Issue:12Pages:2583-2596 |
Abstract | 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. |
Keyword | homoclinic orbits first order discrete Hamiltonian systems super linear critical points |
DOI | 10.1007/s11425-011-4276-8 |
Language | 英语 |
Funding Project | 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 Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000297735900005 |
Publisher | SCIENCE PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/13099 |
Collection | 数学所 |
Corresponding Author | Chen WenXiong |
Affiliation | 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 |
Recommended Citation 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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