具有时滞特性种群增长模型的混沌控制  

Chaos Control of Growth-Species Model with Delays

作　　者：付景超[1] 孙红艳[1] 邓冠男[1] 

机构地区：[1]东北电力大学理学院,吉林吉林132012

出　　处：《数学的实践与认识》2014年第16期263-268,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11201057);国家自然科学基金数学天元基金(11226263);吉林省教育厅"一二五"科技研究项目(吉教科合字[2013]第429号)

摘　　要：研究一类具有时滞离散种群增长模型的混沌控制问题.首先通过绘制分岔图和系统的Lyapunov指数图验证了系统在一定参数条件下表现为混沌状态,然后对此离散系统的Lyapunov指数进行配置,保证了系统正Lyapunov指数变为预设的负Lyapunov指数,最后设计控制器,数值仿真结果不仅验证其配置的有效性,而且保证能将系统快速地稳定到期望点上.The problem of chaos control of a class of discrete growth-species model with delays was considered in this paper. The state of chaos of the model under certain parameter conditions was validated by Lyapunov exponent and the Bifurcation diagram, the controller was designed by deploying Lyapunov exponent of discrete-time model which can be set from positive to negative. Simulations results demonstrate not only the effective of deployment but also convergence to fixed point quickly.

关 键 词：时滞离散种群增长模型 LYAPUNOV指数 期望点 

分 类 号：O231[理学—运筹学与控制论]