Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems

doi:10.1088/1361-6544/abb44f

	Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems
	Chen,Qinbo 1,2; Cheng,Chong-Qing 2
刊名	Nonlinearity
	2021
卷号	34 期号:1
关键词	Arnold diffusion genericity Gevrey functions a priori unstable primary 37J40 37J50
ISSN号	0951-7715
DOI	10.1088/1361-6544/abb44f
英文摘要	AbstractIt is well known that under generic Cr smooth perturbations, the phenomenon of global instability, known as Arnold diffusion, exists in a priori unstable Hamiltonian systems. In this paper, by using variational methods, we will prove that under generic Gevrey smooth perturbations, Arnold diffusion still exists in the a priori unstable Hamiltonian systems of two and a half degrees of freedom.
语种	英语
出版者	IOP Publishing
WOS记录号	IOP:0951-7715-34-1-ABB44F
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/57774]
专题	中国科学院数学与系统科学研究院
作者单位	1.Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 2.Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China
推荐引用方式 GB/T 7714	Chen,Qinbo,Cheng,Chong-Qing. Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems[J]. Nonlinearity,2021,34(1).
APA	Chen,Qinbo,&Cheng,Chong-Qing.(2021).Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems.Nonlinearity,34(1).
MLA	Chen,Qinbo,et al."Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems".Nonlinearity 34.1(2021).