| 一类具有收获系数的单种群模型的混沌控制 |
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| 引用本文： | 付景超,井元伟,张中华,张嗣瀛.一类具有收获系数的单种群模型的混沌控制[J].系统工程与电子技术,2009,31(2):448-451. |
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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, 辽宁, 沈阳, 110004 |
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| 摘 要： | 针对一类具有收获系数的单种群差分方程模型,从数值上采用Lyapunov指数方法验证了该模型存在混沌现象.为了达到消除混沌,稳定种群的目的,根据OGY方法的基本思想,对系统进行混沌控制,得到了消除种群混沌现象,使得种群稳定在不动点和周期-2轨道的充分条件.仿真验证了结论的正确性.
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| 关 键 词： | 单种群差分方程 OGY方法 Lyapunov指数 不动点 周期-2轨道 |
| 收稿时间： | 2007-09-13 |
| 修稿时间： | 2008-03-17 |
Chaos control on single-species models with harvesting coefficient |
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| FU Jing-chao,JING Yuan-wei,ZHANG Zhong-hua,ZHANG Si-ying.Chaos control on single-species models with harvesting coefficient[J].System Engineering and Electronics,2009,31(2):448-451. |
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| Authors: | FU Jing-chao JING Yuan-wei ZHANG Zhong-hua ZHANG Si-ying |
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| Institution: | 1. Coll. of Sciences, Northeastern Dianli Univ., Jilin 132012, China;2. School of Information Science and Engineering, Northeastern Univ., Shenyang 110004, China |
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| Abstract: | To a difference equation of single-species models with harvesting coefficient,the presence of chaos phenomenon is validated by computing Lyapunov exponent measure from numerical value.For the aim to eliminate chaos and stablize species,based on the ideas of the OGY method,the sufficient conditions of the species that stabilizes in the fixed points and the trajectory of period-2 are obtained and chaos phenomenon is eliminated.Simulations show the correctness of the conclusion. |
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