Dynamical behavior in linearly coupled Oregonators
文献类型：期刊论文
| 作者 | Zhou, TS; Zhang, SC |
| 刊名 | PHYSICA D
 |
| 出版日期 | 2001-05-01 |
| 卷号 | 151期号:2-4页码:199-216 |
| 关键词 | coupled oregonators single oscillator associate oscillator in-phase wave echo wave normal form |
| ISSN号 | 0167-2789 |
| 英文摘要 | Tyson [Ann. NY Acad. Sci. 316 (1979) 279] conjectured that the stable homogeneous positive steady state may coexist with stable echo wave (meaning anti-phase wave) in linearly coupled Oregonators land thus gave a conjecture on the bifurcation diagram of this system). In this paper, we rigorously prove stability of the in-phase wave and existence of the anti-phase wave. Our proof procedure actually gives a general method (or line) to deal with the analogous problem. For instance, to prove stability of the in-phase wave, following our line one may decompose the corresponding variational equations (a four-dimensional system) into two independent planar systems; also for instance, existence of the anti-phase wave can be concluded as existence and uniqueness of limit cycle of the associate oscillator. In addition, according to parameter regimes of existence of the anti-phase wave and the stable homogeneous positive steady state, we give their coexistence regime and specify it, and in particular give the regime of the coupled coefficient. The specified results show that the theoretical results are in good accord with Tyson's numerical results. (C) 2001 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000168775400006 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16574]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhou, TS |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhou, TS,Zhang, SC. Dynamical behavior in linearly coupled Oregonators[J]. PHYSICA D,2001,151(2-4):199-216. |
| APA | Zhou, TS,&Zhang, SC.(2001).Dynamical behavior in linearly coupled Oregonators.PHYSICA D,151(2-4),199-216. |
| MLA | Zhou, TS,et al."Dynamical behavior in linearly coupled Oregonators".PHYSICA D 151.2-4(2001):199-216. |
入库方式： OAI收割
来源：数学与系统科学研究院
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