摘要
对化学反应中的Brussel模型的动力学行为进行了研究,针对其混沌现象,用线性反馈方法和多变量注入反馈控制法对系统进行控制,数值仿真结果显示,这两种控制方法都能将系统混沌有效地抑制到周期轨道。相图和状态历程图显示了系统随着被控参数的变化,最终被控制在周期轨道的情形。全局分岔图揭示了系统随着被控参数的变化,存在的复杂动力学现象,倍化分岔、叉式分岔、倍化分岔序列最终通向混沌的过程。
Dynamic behaviors of the Brussel model in chemical reaction are studied in this paper. Linear feedback and multi-variable injection feedback are used to control the chaos of the system. Numerical simulation results show that, both of the two control methods can effectively suppress system chaos onto the periodic orbit. The phase diagram and state historic plot show how the system is finally controlled to the periodic orbit while the controlled parameters change. The global bifurcation diagram reveals how these complex dynamic phenomena of the system occur when the controlled parameters change, and how the sequence of doubling bifurcation-forked bifurcation-doubling bifurcation is finally passed to chaos.
出处
《电气自动化》
2015年第5期17-18,69,共3页
Electrical Automation
基金
兰州石化职业技术学院教育教学研究课题项目(JY2014-26)
关键词
Brussel模型
化学反应
混沌
混沌控制
数值模拟
分岔
相图
Brussel model
chemical reaction
chaos
chaos control
numerical simulation
bifurcation
phase diagram
