Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems
文献类型：期刊论文
| 作者 | Chen,Qinbo1,2; Cheng,Chong-Qing1 |
| 刊名 | Nonlinearity
 |
| 出版日期 | 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 |
| WOS记录号 | IOP:0951-7715-34-1-ABB44F |
| 出版者 | IOP Publishing |
| 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.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). |
入库方式： OAI收割
来源：数学与系统科学研究院
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