Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems

doi:10.1088/1361-6544/abb44f

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	Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems
	Chen,Qinbo 1,2; Cheng,Chong-Qing 1
	2021
发表期刊	Nonlinearity
ISSN	0951-7715
卷号	34 期号:1
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.
关键词	Arnold diffusion genericity Gevrey functions a priori unstable primary 37J40 37J50
DOI	10.1088/1361-6544/abb44f
语种	英语
WOS记录号	IOP:0951-7715-34-1-abb44f
出版者	IOP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57775
专题	中国科学院数学与系统科学研究院
作者单位	1.Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China 2.Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, 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).