Periodicity induced by state feedback controls and driven by disparate dynamics of a herbivore-plankton model with cannibalism
文献类型：期刊论文
| 作者 | Fang, Dandan1; Pei, Yongzhen1,2; Lv, Yunfei1; Chen, Lansun3 |
| 刊名 | NONLINEAR DYNAMICS
 |
| 出版日期 | 2017-12-01 |
| 卷号 | 90期号:4页码:2657-2672 |
| 关键词 | State feedback control Periodic solution Bifurcation Perturbed system B-convergent Homoclinic cycle Rotated vector fields |
| ISSN号 | 0924-090X |
| DOI | 10.1007/s11071-017-3829-y |
| 英文摘要 | Plankton and herbivore in aquatic ecosystems are often deeply disturbed by human exploitations in impulsive patterns. In this paper, for a herbivore-plankton interaction model with cannibalism, firstly, the complex dynamic behaviors including the number, the existence and stability of internal equilibriums, the limit and homoclinic cycles, Hopf, saddle node, Pitchfork and Bogdanov-Takens bifurcations are investigated roughly. Furthermore, multiple state feedback controls are implemented so that three order-one periodic solutions (OOPSs) and heteroclinic bifurcation driven by disparate dynamics are induced, respectively. By the method of Bendixson theorem and successor function, the existences of OOPSs are proved. Finally, for the corresponding small parameter-perturbed system, B-convergent of OOPS and homoclinic bifurcation are investigated by the variational equation and the rotated vector, respectively. |
| 资助项目 | National Natural Science Foundation of China[11471243] ; National Natural Science Foundation of China[11501409] ; National Natural Science Foundation of China[11671346] |
| WOS研究方向 | Engineering ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000415111100029 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26931]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Pei, Yongzhen |
| 作者单位 | 1.Tianjin Polytech Univ, Sch Sci, Tianjin 300387, Peoples R China 2.Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fang, Dandan,Pei, Yongzhen,Lv, Yunfei,et al. Periodicity induced by state feedback controls and driven by disparate dynamics of a herbivore-plankton model with cannibalism[J]. NONLINEAR DYNAMICS,2017,90(4):2657-2672. |
| APA | Fang, Dandan,Pei, Yongzhen,Lv, Yunfei,&Chen, Lansun.(2017).Periodicity induced by state feedback controls and driven by disparate dynamics of a herbivore-plankton model with cannibalism.NONLINEAR DYNAMICS,90(4),2657-2672. |
| MLA | Fang, Dandan,et al."Periodicity induced by state feedback controls and driven by disparate dynamics of a herbivore-plankton model with cannibalism".NONLINEAR DYNAMICS 90.4(2017):2657-2672. |
入库方式： OAI收割
来源：数学与系统科学研究院
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