具有共生作用两种群离散耦合Logistic模型混沌控制  

Chaos Control of Two Species Discrete Coupling Logistic Model with Symbiotic Interaction

作　　者：付景超[1] 刘春丽[1] 井元伟[2] 张嗣瀛[2] 

机构地区：[1]东北电力大学理学院,吉林吉林132012 [2]东北大学信息科学与工程学院控制理论与控制工程,辽宁沈阳110004

出　　处：《生物数学学报》2011年第1期99-107,共9页Journal of Biomathematics

基　　金：东北电力大学博士科研启动基金项目(BSJXM-200816);国家自然科学基金(62074009)

摘　　要：针对具有共生作用的离散耦合Logistic模型,首先采用Lyapunov指数方法验证了混沌现象的存在.然后详细地分析了系统随参数变化的分岔图,发现了系统中存在更复杂的现象.最后应用混沌跟踪控制方法控制系统的混沌现象,使得种群稳定到正不动点轨道上,消除了种群中存在的混沌现象.仿真结果验证了控制方法的有效性.In allusion to a discrete coupled Logistic model with symbiotic interaction, the presence of chaos was validated by computing Lyapunov exponent measure.More complex phenomena were found by analyzing bifurcation diagrams of system with varieties of parameter elaborately.By applying tracking control of chaos to stabilize the species to the unstable fixed points,chaotic trajectories in the system were controlled in the anticipant trajectory and chaotic phenomena were eliminated.The correctness of the conclusion was validated by simulation.

关 键 词：共生作用 离散耦合Logistic模型 混沌 LYAPUNOV指数 混沌跟踪控制 

分 类 号：O175.1[理学—数学] Q141[理学—基础数学]