Periodicity induced by state feedback controls and driven by disparate dynamics of a herbivore-plankton model with cannibalism

doi:10.1007/s11071-017-3829-y

	Periodicity induced by state feedback controls and driven by disparate dynamics of a herbivore-plankton model with cannibalism
	Fang, Dandan 1; Pei, Yongzhen 1,2; Lv, Yunfei 1; Chen, Lansun 3
刊名	NONLINEAR DYNAMICS
	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
出版者	SPRINGER
WOS记录号	WOS:000415111100029
内容类型	期刊论文
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.