From annular to interval dynamics: Symbolic analysis of the periodically forced Brusselator
文献类型：期刊论文
| 作者 | Liu, JX; Zheng, WM ; Hao, BL; Liu, JX , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA,PEOPLES R CHINA.
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| 刊名 | CHAOS SOLITONS & FRACTALS
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| 出版日期 | 1996 |
| 卷号 | 7期号:9页码:1427-1453 |
| 关键词 | Circle Map Systematics Windows |
| ISSN号 | 0960-0779 |
| 英文摘要 | In this paper we show that numerical study under the guidance of symbolic dynamics may provide an effective method to gain global knowledge on ODEs, which is difficult to obtain either by purely analytical or by completely numerical means. We demonstrate how this approach works in practice on the example of the periodically forced Brusselator. In particular, the transition from annular type dynamics to interval dynamics is explored in terms of symbolic dynamics. Our results are instructive for the study of other nonlinear systems with competing frequencies, as the method is topological in nature, but complemented with numerical details. Copyright (C) 1996 Elsevier Science Ltd. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:A1996VK62300008 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/12593]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Liu, JX , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA,PEOPLES R CHINA. |
| 推荐引用方式 GB/T 7714 | Liu, JX,Zheng, WM,Hao, BL,et al. From annular to interval dynamics: Symbolic analysis of the periodically forced Brusselator[J]. CHAOS SOLITONS & FRACTALS,1996,7(9):1427-1453. |
| APA | Liu, JX,Zheng, WM,Hao, BL,&Liu, JX , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA,PEOPLES R CHINA..(1996).From annular to interval dynamics: Symbolic analysis of the periodically forced Brusselator.CHAOS SOLITONS & FRACTALS,7(9),1427-1453. |
| MLA | Liu, JX,et al."From annular to interval dynamics: Symbolic analysis of the periodically forced Brusselator".CHAOS SOLITONS & FRACTALS 7.9(1996):1427-1453. |
入库方式： OAI收割
来源：理论物理研究所
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