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

Bursting oscillation in CO oxidation with small excitation and the enveloping slow-fast analysis method
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小激励下CO氧化的突发振荡及包络慢-快分析方法

DOI:
10.1088/1674-1056/21/6/060505
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发表时间:
2012-06
期刊:
影响因子:
1.7
通讯作者:
Bi Qin-Sheng
Bi Qin-Sheng
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Li Xiang-Hong;Bi Qin-Sheng

文献摘要

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本文在传统的多时间尺度非线性系统分析方法的基础上,发展了包络慢-快分析方法,用于研究周期激励下多时间尺度非线性场的动力学行为。利用该方法对CO在铂族金属上氧化的动力学模型行为进行了详细的研究。提出了Fold/Fold/Hopf爆发和Fold/Fold爆发两种典型的爆发现象,并给出了其分岔机制。进一步给出了扰动频率相对较大和较小时两种情况下的动力学差异,可以用来描述参与演化的频率对系统爆发行为的影响。
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.