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Periodicity induced by state feedback controls and driven by disparate dynamics of a herbivore-plankton model with cannibalism
Fang, Dandan1; Pei, Yongzhen1,2; Lv, Yunfei1; Chen, Lansun3
2017-12-01
Source PublicationNONLINEAR DYNAMICS
ISSN0924-090X
Volume90Issue:4Pages:2657-2672
AbstractPlankton 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.
KeywordState feedback control Periodic solution Bifurcation Perturbed system B-convergent Homoclinic cycle Rotated vector fields
DOI10.1007/s11071-017-3829-y
Language英语
Funding ProjectNational Natural Science Foundation of China[11471243] ; National Natural Science Foundation of China[11501409] ; National Natural Science Foundation of China[11671346]
WOS Research AreaEngineering ; Mechanics
WOS SubjectEngineering, Mechanical ; Mechanics
WOS IDWOS:000415111100029
PublisherSPRINGER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26932
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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