KMS Of Academy of mathematics and systems sciences, CAS
Chaos behavior in the discrete Fitzhugh nerve system | |
Jing, ZJ; Jia, ZY; Chang, Y | |
2001-12-01 | |
Source Publication | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY |
ISSN | 1006-9283 |
Volume | 44Issue:12Pages:1571-1578 |
Abstract | The discrete Fitzhugh nerve systems obtained by the Euler method is investigated and it is proved that there exist chaotic phenomena in the sense of Marotto's definition of chaos. And numerical simulations not only show the consistence with the theoretical analysis but also exhibit the complex dynamical behaviors, including the ten-periodic orbit, a cascade of period-doubling bifurcation, quasiperiodic orbits and the chaotic orbits and intermittent chaos. The computations of Lyapunov exponents confirm the chaos behaviors. Moreover we also find a strange attractor having the self-similar orbit structure as that of Henon attractor. |
Keyword | chaos discrete Fitzhugh nerve system |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000175029200009 |
Publisher | SCIENCE CHINA PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/16088 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Jing, ZJ |
Affiliation | 1.Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
Recommended Citation GB/T 7714 | Jing, ZJ,Jia, ZY,Chang, Y. Chaos behavior in the discrete Fitzhugh nerve system[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(12):1571-1578. |
APA | Jing, ZJ,Jia, ZY,&Chang, Y.(2001).Chaos behavior in the discrete Fitzhugh nerve system.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(12),1571-1578. |
MLA | Jing, ZJ,et al."Chaos behavior in the discrete Fitzhugh nerve system".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.12(2001):1571-1578. |
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