食饵具有避难所的离散种群模型的轨迹跟踪控制  

Tracking Control of a Discrete Population Model with Refuge of Prey

作　　者：付景超[1] 唐婕 FU Jingchao;TANG Jie(College of Science,Northeast Electric Power University,Jilin 132012,China)

机构地区：[1]东北电力大学理学院,吉林吉林132012

出　　处：《北华大学学报（自然科学版）》2022年第5期561-565,共5页Journal of Beihua University（Natural Science）

基　　金：国家自然科学基金项目(12101112).

摘　　要：针对食饵具有避难所的离散种群模型,利用混沌跟踪控制理论和方法,研究混沌现象及其控制问题.首先,分析不动点的稳定性,通过绘制Lyapunov指数谱和分岔图验证了混沌吸引子的存在;其次,根据混沌跟踪控制原理设计控制器,将混沌系统稳定到不动点和周期轨道上;最后,利用数值仿真验证了所设计的控制器的有效性.The chaotic phenomenon and its control are studied by using the theory and method of chaotic tracking control for a discrete population model with refuge of prey.Firstly,the stability of the fixed points is analyzed,and the existence of chaotic attractor is verified by drawing Lyapunov exponential spectrum and bifurcation diagram.Secondly,the controller is designed to stabilize the chaotic system to the fixed points and the periodic orbit according to the principle of chaos tracking control.Finally,the effectiveness of the designed controller is verified by numerical simulation.

关 键 词：离散种群模型 LYAPUNOV指数 混沌跟踪控制 

分 类 号：O193[理学—数学] TM023[理学—基础数学]