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A twist condition and periodic solutions of Hamiltonian systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Liu, Zhaoli Su, Jiabao Wang, Zhi-Qiang |
| Copyright Year | 2008 |
| Abstract | In this paper, we investigate existence of nontrivial periodic solutions to the Hamiltonian system −J ż = H ′(t, z), z ∈ R2N . (HS) Under a general twist condition for the Hamiltonian function in terms of the difference of the Conley– Zehnder index at the origin and at infinity we establish existence of nontrivial periodic solutions. Compared with the existing work in the literature, our results do not require the Hamiltonian function to have linearization at infinity. Our results allow interactions at infinity between the Hamiltonian and the linear spectra. The general twist condition raised here seems to resemble more the spirit of Poincaré’s last geometric theorem. © 2008 Elsevier Inc. All rights reserved. MSC: 34C25; 58E05; 58F05; 58F22; 70H05 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://math.usu.edu/~wang/AIM-2008.pdf |
| Alternate Webpage(s) | http://www.math.usu.edu/~wang/AIM-2008.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Conley–Zehnder theorem Hamiltonian (quantum mechanics) Interaction Solutions |
| Content Type | Text |
| Resource Type | Article |
