Name
Abstract | ||
|---|---|---|
The paper concerns the existence of rotating periodic solutions in Hamiltonian systems. This kind of rotating periodic solutions has the form of x(t+T)=Qx(t) with some symplectic orthogonal matrix Q. When Qk=I for some integer k>0, it is a symmetric periodic solution and when Qk≠I for any k∈N+, it is just a quasi-periodic one corresponding to a rotation. It is proved that if the Hamiltonian is strictly convex, coercive and Q invariant, then there exists a Q-rotating periodic solution on every energy surface. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.aml.2018.10.002 | Applied Mathematics Letters |
Keywords | Field | DocType |
Rotating periodic solutions,Hamiltonian systems,Dual method | Orthogonal matrix,Hamiltonian (quantum mechanics),Mathematical analysis,Pure mathematics,Hamiltonian system,Symplectic geometry,Regular polygon,Convex function,Invariant (mathematics),Periodic graph (geometry),Mathematics | Journal |
Volume | ISSN | Citations |
89 | 0893-9659 | 0 |
PageRank | References | Authors |
0.34 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jiamin Xing | 1 | 0 | 0.34 |
| Xue Yang | 2 | 15 | 10.21 |
| Li Yong | 3 | 262 | 29.92 |