Chaos and bifurcation in the space-clamped FitzHugh-Nagumo system
文献类型：期刊论文
| 作者 | Gao, YH |
| 刊名 | CHAOS SOLITONS & FRACTALS
 |
| 出版日期 | 2004-08-01 |
| 卷号 | 21期号:4页码:943-956 |
| ISSN号 | 0960-0779 |
| DOI | 10.1016/j.chaos.2003.12.033 |
| 英文摘要 | The discrete space-clamped FitzHugh-Nagumo system obtained by the Euler method is investigated. It is proven that there are SNB and Naimark-Sacker bifurcations and chaotic phenomena in the sense of Marotto. The numerical simulations presented not only show the consistence of our results with the theoretical analysis but also exhibit the complex dynamical behaviors. This includes the period-9, 10, 16, 25, 27 and 42 orbits, quasi-period orbits, cascade of period-doubling bifurcations, pitchfork bifurcation, attractor merging crisis and boundary crisis, intermittency as well as supertransient and chaotic bands. The computation of Lyapunov exponents confirms the dynamical behaviors. We also consider the influence of periodic external signal on the original system via numerical simulations and find that and omega affect the dynamical behaviors significantly. (C) 2003 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| WOS记录号 | WOS:000220413000018 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/659]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gao, YH |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gao, YH. Chaos and bifurcation in the space-clamped FitzHugh-Nagumo system[J]. CHAOS SOLITONS & FRACTALS,2004,21(4):943-956. |
| APA | Gao, YH.(2004).Chaos and bifurcation in the space-clamped FitzHugh-Nagumo system.CHAOS SOLITONS & FRACTALS,21(4),943-956. |
| MLA | Gao, YH."Chaos and bifurcation in the space-clamped FitzHugh-Nagumo system".CHAOS SOLITONS & FRACTALS 21.4(2004):943-956. |
入库方式： OAI收割
来源：数学与系统科学研究院
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