| 一类延迟生态模型的混沌控制 |
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| 引用本文： | 付景超,井元伟,张中华,张嗣瀛.一类延迟生态模型的混沌控制[J].东北大学学报(自然科学版),2009,30(1):1. |
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| 作者姓名： | 付景超 井元伟 张中华 张嗣瀛 |
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| 作者单位： | 1. 东北大学,信息科学与工程学院,辽宁,沈阳,110004
2. 东北大学,信息科学与工程学院,辽宁,沈阳,110004;东北电力大学,国际交流学院,吉林省,吉林市,132012 |
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| 摘 要： | 针对一类具有延迟作用的种群生态模型,首先采用数值模拟方法给出了Lyapunov指数随时间变化的图形,简单直观地验证了该种群生态模型存在混沌现象.其次采取改进的直线稳定化方法控制模型所存在的混沌现象,设计并求得了使得生物种群稳定到不动点轨道的控制器,最终消除了种群中存在的混沌现象,从而保持了种群系统的持续生存.最后通过仿真验证了控制器的有效性.
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| 关 键 词： | 延迟种群生态模型 混沌控制 直线稳定化方法 Lyapunov指数 不动点 |
Chaos Control of a Class of Delayed Ecological Models |
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| FU Jing-chao,JING Yuan-wei,ZHANG Zhong-hua,ZHANG Si-ying.Chaos Control of a Class of Delayed Ecological Models[J].Journal of Northeastern University(Natural Science),2009,30(1):1. |
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| Authors: | FU Jing-chao JING Yuan-wei ZHANG Zhong-hua ZHANG Si-ying |
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| Institution: | FU Jing-chao1,JING Yuan-wei1,ZHANG Zhong-hua1,2,ZHANG Si-ying1(1.School of Information Science & Engineering,Northeastern University,Shenyang 110004,China,2.College of International Exchange,Northeast Dianli University,Jilin 132012,China.) |
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| Abstract: | To a class of delayed population ecological models,the presence of chaotic phenomena in those models are validated simply and visually by numerical simulation to give the time-dependent graphs of Lyapunov exponents.Then,introducing the improved straight-line stabilization method to control the chaotic phenomena in the models,a controller is designed to stabilize the biological population in the oribits where the fixed points lie on,thus eliminating the chaotic phenomena in population to keep the population ... |
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| Keywords: | delayed population ecological model chaos control straight-line stabilization method Lyapunov exponent fixed points |
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