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一类3种群比率依赖食物链的混沌控制
引用本文:万校基,林怡平. 一类3种群比率依赖食物链的混沌控制[J]. 昆明理工大学学报(自然科学版), 2009, 34(2): 98-103. DOI: 10.3969/j.issn.1007-855x.2009.02.022
作者姓名:万校基  林怡平
作者单位:昆明理工大学,理学院,云南,昆明,650093;昆明理工大学,理学院,云南,昆明,650093
摘    要:利用反馈控制方法对一类具HollingⅡ型功能反应的3种群食物链进行混沌控制,用Routh—Hurwitz判定准则研究系统非负系统平衡点的局部稳定性,考虑Hopf分支产生的条件,并通过数值模拟谁控制的有效性.

关 键 词:混沌控制  反馈控制  Hopf分支  食物链

Chaotic Control of a Three Species Ratio Dependent Food Chain
WAN Xiao-ji,LIN Yi-ping. Chaotic Control of a Three Species Ratio Dependent Food Chain[J]. Journal of Kunming University of Science and Technology(Natural Science Edition), 2009, 34(2): 98-103. DOI: 10.3969/j.issn.1007-855x.2009.02.022
Authors:WAN Xiao-ji  LIN Yi-ping
Affiliation:Faculty of Science;Kunming University of Science and Technology;Kunming 650093;China
Abstract:Chaos of a three species food chain with Holling Ⅱ functional responses is controlled by using the feedback control method. The criteria of Routh Hurwitz are used to study the local stability of the non-negative equilibrium. The conditions for existence of Hopf bifurcations are given. Finally, the feasibility of controlling is demonstrated through several numerical simulations.
Keywords:chaotic control  feedback control  Hopf bifurcations  food chain  
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