numericalinvarianttoriofsymplecticintegratorsforintegrablehamiltoniansystems
文献类型：期刊论文
| 作者 | Ding Zhaodong2; Shang Zaijiu1
|
| 刊名 | sciencechinamathematics
 |
| 出版日期 | 2018 |
| 卷号 | 61期号:9页码:1567 |
| ISSN号 | 1674-7283 |
| 英文摘要 | In this paper, we study the persistence of invariant tori of integrable Hamiltonian systems satisfying Russmann's non-degeneracy condition when symplectic integrators are applied to them. Meanwhile, we give an estimate of the measure of the set occupied by the invariant tori in the phase space. On an invariant torus, numerical solutions are quasi-periodic with a diophantine frequency vector of time step size dependence. These results generalize Shang's previous ones (1999, 2000), where the non-degeneracy condition is assumed in the sense of Kolmogorov. |
| 资助项目 | [National Natural Science Foundation of China] |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/36632]  |
| 专题 | 数学所 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.内蒙古大学 |
| 推荐引用方式 GB/T 7714 | Ding Zhaodong,Shang Zaijiu. numericalinvarianttoriofsymplecticintegratorsforintegrablehamiltoniansystems[J]. sciencechinamathematics,2018,61(9):1567. |
| APA | Ding Zhaodong,&Shang Zaijiu.(2018).numericalinvarianttoriofsymplecticintegratorsforintegrablehamiltoniansystems.sciencechinamathematics,61(9),1567. |
| MLA | Ding Zhaodong,et al."numericalinvarianttoriofsymplecticintegratorsforintegrablehamiltoniansystems".sciencechinamathematics 61.9(2018):1567. |
入库方式： OAI收割
来源：数学与系统科学研究院
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