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非线性电路的簇发现象及分岔机制
  • ISSN号:1000-8152
  • 期刊名称:Kongzhi Lilun Yu Yinyong/Control Theory and Applic
  • 时间:0
  • 页码:1413-1420
  • 分类:TP277[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置] TV542[水利工程—水利水电工程]
  • 作者机构:[1]Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China, [2]Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
  • 相关基金:Project supported by the National Natural Science Foundation of China (Grant Nos. 20976075, 20976041, and 10972091).
  • 相关项目:含多时间尺度非线性化学反应振荡系统的复杂行为研究
中文摘要:

Based on the traditional scheme for a nonlinear system with multiple time scales,the enveloping slow-fast analysis method is developed in the paper,which can be employed to investigate the dynamics of nonlinear fields with multiple time scales with periodic excitation.Upon using the method,the behaviors of the kinetic model of CO oxidation on the platinum group metals have been explored in detail.Two typical bursting phenomena such as Fold/Fold/Hopf bursting and Fold/Fold bursting,are presented,the bifurcation mechanisms of which have been obtained.Furthermore,the dynamic difference between the two cases corresponding to relatively large and small perturbation frequencies,respectively,has been presented,which can be used to describe the influence of the frequencies involving in the evolution on the bursting behaviors in the system.

英文摘要:

Based on the traditional scheme for a nonlinear system with multiple time scales, the enveloping slow-fast analysis method is developed in the paper, which can be employed to investigate the dynamics of nonlinear fields with multiple time scales with periodic excitation. Upon using the method, the behaviors of the kinetic model of CO oxidation on the platinum group metals have been explored in detail. Two typicM bursting phenomena such as Fold/Fold/Hopf bursting and Fold/Fold bursting, are presented, the bifurcation mechanisms of which have been obtained. Furthermore, the dynamic difference between the two cases corresponding to relatively large and small perturbation frequencies, respectively, has been presented, which can be used to describe the influence of the frequencies involving in the evolution on the bursting behaviors in the system.

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期刊信息
  • 《控制理论与应用》
  • 北大核心期刊(2011版)
  • 主管单位:国家教育部
  • 主办单位:华南理工大学 中国科学院数学与系统科学研究院
  • 主编:胡跃明
  • 地址:广州五山路华南理工大学3号楼516室
  • 邮编:510640
  • 邮箱:aukzllyy@scut.edu.cn
  • 电话:020-87111464
  • 国际标准刊号:ISSN:1000-8152
  • 国内统一刊号:ISSN:44-1240/TP
  • 邮发代号:46-11
  • 获奖情况:
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  • 被引量:21084