numericalinvarianttoriofsymplecticintegratorsforintegrablehamiltoniansystems

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	numericalinvarianttoriofsymplecticintegratorsforintegrablehamiltoniansystems
	Ding Zhaodong 1; Shang Zaijiu2
	2018-01-01
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	61 期号:9 页码:1567
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.
语种	英语
资助项目	[National Natural Science Foundation of China]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/36633
专题	数学所
作者单位	1.内蒙古大学 2.中国科学院数学与系统科学研究院
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.