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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)† |
a. Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China;
b. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China |
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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.
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Received: 22 February 2012
Revised: 05 March 2012
Accepted manuscript online:
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PACS:
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05.45.-a
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(Nonlinear dynamics and chaos)
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82.40.Bj
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(Oscillations, chaos, and bifurcations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 20976075, 20976041, and 10972091). |
Corresponding Authors:
Bi Qin-Sheng
E-mail: qbi@ujs.edu.cn
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Cite this article:
Li Xiang-Hong(李向红) and Bi Qin-Sheng(毕勤胜) Bursting oscillation in CO oxidation with small excitation and the enveloping slow-fast analysis method 2012 Chin. Phys. B 21 060505
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