中国物理B ›› 2012, Vol. 21 ›› Issue (6): 60505-060505.doi: 10.1088/1674-1056/21/6/060505

• GENERAL • 上一篇    下一篇

Bursting oscillation in CO oxidation with small excitation and the enveloping slow-fast analysis method

李向红a b, 毕勤胜a   

  1. a. Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China;
    b. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
  • 收稿日期:2012-02-22 修回日期:2012-03-05 出版日期:2012-05-01 发布日期:2012-05-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 20976075, 20976041, and 10972091).

Bursting oscillation in CO oxidation with small excitation and the enveloping slow-fast analysis method

Li Xiang-Hong(李向红)a)b) and Bi Qin-Sheng(毕勤胜)a)†   

  1. a. Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China;
    b. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
  • Received:2012-02-22 Revised:2012-03-05 Online:2012-05-01 Published:2012-05-01
  • Contact: Bi Qin-Sheng E-mail:qbi@ujs.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 20976075, 20976041, and 10972091).

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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.

关键词: CO oxidation, bursting phenomenon, bifurcation mechanism, enveloping slow-fast analysis

Abstract: 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.

Key words: CO oxidation, bursting phenomenon, bifurcation mechanism, enveloping slow-fast analysis

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
82.40.Bj (Oscillations, chaos, and bifurcations)