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From annular to interval dynamics: Symbolic analysis of the periodically forced Brusselator
Liu, JX; Zheng, WM; Hao, BL; Liu, JX , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA,PEOPLES R CHINA.
1996
发表期刊CHAOS SOLITONS & FRACTALS
ISSN0960-0779
卷号7期号:9页码:1427-1453
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.
关键词Circle Map Systematics Windows
学科领域Physics
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收录类别SCI
WOS记录号WOS:A1996VK62300008
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被引频次:9[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12593
专题理论物理所SCI论文
通讯作者Liu, JX , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA,PEOPLES R CHINA.
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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.
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