Bifurcations of a periodically forced microbial continuous culture model with restrained growth rate
文献类型：期刊论文
| 作者 | Ren, Jingli; Yuan, Qigang; Ren, JL (reprint author), Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China.; Ren, JL (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China. |
| 刊名 | CHAOS
 |
| 出版日期 | 2017-08-01 |
| 卷号 | 27期号:8 |
| ISSN号 | 1054-1500 |
| DOI | 10.1063/1.5000152 |
| 文献子类 | Article |
| 英文摘要 | A three dimensional microbial continuous culture model with a restrained microbial growth rate is studied in this paper. Two types of dilution rates are considered to investigate the dynamic behaviors of the model. For the unforced system, fold bifurcation and Hopf bifurcation are detected, and numerical simulations reveal that the system undergoes degenerate Hopf bifurcation. When the system is periodically forced, bifurcation diagrams for periodic solutions of period-one and period-two are given by researching the Poincare map, corresponding to different bifurcation cases in the unforced system. Stable and unstable quasiperiodic solutions are obtained by Neimark-Sacker bifurcation with different parameter values. Periodic solutions of various periods can occur or disappear and even change their stability, when the Poincare map of the forced system undergoes Neimark-Sacker bifurcation, flip bifurcation, and fold bifurcation. Chaotic attractors generated by a cascade of period doublings and some phase portraits are given at last. Published by AIP Publishing. |
| 分类号 | 一类 |
| URL标识 | 查看原文 |
| WOS关键词 | NONLINEAR DYNAMICAL-SYSTEM ; GLYCEROL FERMENTATION ; KLEBSIELLA-PNEUMONIAE ; CLOSTRIDIUM-BUTYRICUM ; PRODUCT INHIBITION ; 1,3-PROPANEDIOL ; PATHWAY ; OSCILLATIONS ; HYSTERESIS |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000409112600028 |
| 资助机构 | NSFC(11771407) ; Innovation Research Team of Science and Technology of Henan Province(17IRTSTHN007) ; Plan for Scientific Innovation Talent of Henan Province(164200510011) ; Opening fund of State Key Laboratory of Nonlinear Mechanics(LNM201710) ; National Key Research and Development Program of China(2017YFB0702500) |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/70042]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 通讯作者 | Ren, JL (reprint author), Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China.; Ren, JL (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Ren, Jingli,Yuan, Qigang,Ren, JL ,et al. Bifurcations of a periodically forced microbial continuous culture model with restrained growth rate[J]. CHAOS,2017,27(8). |
| APA | Ren, Jingli,Yuan, Qigang,Ren, JL ,&Ren, JL .(2017).Bifurcations of a periodically forced microbial continuous culture model with restrained growth rate.CHAOS,27(8). |
| MLA | Ren, Jingli,et al."Bifurcations of a periodically forced microbial continuous culture model with restrained growth rate".CHAOS 27.8(2017). |
入库方式： OAI收割
来源：力学研究所
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