Strange attractors on pseudospectral solutions for dissipative Zakharov equations
文献类型：期刊论文
| 作者 | Ma, SQ; Chang, QS |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2004-07-01 |
| 卷号 | 24期号:3页码:321-336 |
| 关键词 | strange attractors psendospectral method Zakharov equations |
| ISSN号 | 0252-9602 |
| 英文摘要 | In this paper, the pseudospectral method to solve the dissipative Zakharov equations is used. Its convergence is proved by priori estimates. The existence of the global attractors and the estimates of dimension are presented. A class of steady state solutions is also disscussed. The numerical results show that if the steady state solutions satisfy sonic special conditions, they become unstable and limit cycles and strange attractors will occur for very small perturbations. The largest Lyapunov exponent and analysis of the linearized system are applied to explain these phenomena. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000223563300001 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19314]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ma, SQ |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma, SQ,Chang, QS. Strange attractors on pseudospectral solutions for dissipative Zakharov equations[J]. ACTA MATHEMATICA SCIENTIA,2004,24(3):321-336. |
| APA | Ma, SQ,&Chang, QS.(2004).Strange attractors on pseudospectral solutions for dissipative Zakharov equations.ACTA MATHEMATICA SCIENTIA,24(3),321-336. |
| MLA | Ma, SQ,et al."Strange attractors on pseudospectral solutions for dissipative Zakharov equations".ACTA MATHEMATICA SCIENTIA 24.3(2004):321-336. |
入库方式： OAI收割
来源：数学与系统科学研究院
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