东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2009, Vol. 30 ›› Issue (1): 1-4+12.DOI: -

• 论著 •    下一篇

一类延迟生态模型的混沌控制

付景超;井元伟;张中华;张嗣瀛;   

  1. 东北大学信息科学与工程学院;东北电力大学国际交流学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2009-01-15 发布日期:2013-06-22
  • 通讯作者: Fu, J.-C.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274009)

Chaos control of a class of delayed ecological models

Fu, Jing-Chao (1); Jing, Yuan-Wei (1); Zhang, Zhong-Hua (1); Zhang, Si-Ying (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (2) College of International Exchange, Northeast Dianli University, Jilin 132012, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2009-01-15 Published:2013-06-22
  • Contact: Fu, J.-C.
  • About author:-
  • Supported by:
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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.

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

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 orbits where the fixed points lie on, thus eliminating the chaotic phenomena in population to keep the population system in persistent existence. The validity of the controller is confirmed by simulation results.

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