| STOCHASTICITY NEAR RESONANCES IN A KIND OF NEAR-INTEGRABLE HAMILTONIAN SYSTEMS BASED ON SMALE HORSESHOES |
| |
| 引用本文： | 董广茂,刘曾荣,许政范. STOCHASTICITY NEAR RESONANCES IN A KIND OF NEAR-INTEGRABLE HAMILTONIAN SYSTEMS BASED ON SMALE HORSESHOES[J]. 应用数学和力学(英文版), 1992, 13(1): 11-16. DOI: 10.1007/BF02450424 |
| |
| 作者姓名： | 董广茂 刘曾荣 许政范 |
| |
| 作者单位： | Xi'an Institute of Technology，Suzhou University，Suzhou，LNM，Institute of Mechanics，Chinese Academy of Sciences，Shanghai Maritime University Xi'an，Shanghai |
| |
| 摘 要： | In this paper, a method is developed to detect the appearance of stochasticity in a kind of near-integrable Hamiltonian system with two time-scales. One is fast and the other slow. The stochasticity is showed to be chaos in the sense of Smale horseshoes actually.A stochastic web is discovered in our example, by use of the results obtained in this paper.
|
| 关 键 词： | stochasticity Smale horseshoe Ω -stability time-scale stochastic web |
| 收稿时间： | 1991-02-01 |
Stochasticity near resonances in a kind of near-integrable Hamiltonian systems based on smale horseshoes |
| |
| Dong Guang-mao,Liu Zheng-rong,Xu Zheng-fan. Stochasticity near resonances in a kind of near-integrable Hamiltonian systems based on smale horseshoes[J]. Applied Mathematics and Mechanics(English Edition), 1992, 13(1): 11-16. DOI: 10.1007/BF02450424 |
| |
| Authors: | Dong Guang-mao Liu Zheng-rong Xu Zheng-fan |
| |
| Affiliation: | (1) Xi'an Institute of Technology, Xi'an;(2) Suzhou University, Suzhou;(3) LNM, Institute of Mechanics, Chinese Academy of Sciences, China;(4) Shanghai Maritime University, Shanghai |
| |
| Abstract: | In this paper, a method is developed to detect the appearance of stochasticity in a kind of near-integrable Hamiltonian system with two time-scales. One is fast and the other slow. The stochasticity is showed to be chaos in the sense of Smale horseshoes actually. A stochastic web is discovered in our example, by use of the results obtained in this paper. |
| |
| Keywords: | stochasticity Smale horseshoe Ω -stability time-scale stochastic web |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
