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.
出处
《生物数学学报》
CSCD
北大核心
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)
