Forced bursting and transition mechanism in CO oxidation with three time scales

doi:10.1088/1674-1056/22/4/040504

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 40504-040504.doi: 10.1088/1674-1056/22/4/040504

Forced bursting and transition mechanism in CO oxidation with three time scales

李向红^{a b}, 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

收稿日期:2012-08-26 修回日期:2012-10-10 出版日期:2013-03-01 发布日期:2013-03-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 20976075, 10972091, and 11002093) and the College Graduate Student Scientific Research Innovation Foundation of Jiangsu Province, China (Grant No. CXLX12-0619).

Forced bursting and transition mechanism in CO oxidation with three time scales

Li Xiang-Hong (李向红)^{a b}, 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

Received:2012-08-26 Revised:2012-10-10 Online:2013-03-01 Published:2013-03-01
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, 10972091, and 11002093) and the College Graduate Student Scientific Research Innovation Foundation of Jiangsu Province, China (Grant No. CXLX12-0619).

摘要/Abstract

摘要： The mathematical model of CO oxidation with three time scales on platinum group metals is investigated, in which order gaps between the time scales related to external perturbation and the rates associated with different chemical reaction steps exist. Forced bursters, such as point-point type forced bursting and point-cycle type forced bursting, are presented. The bifurcation mechanism of forced bursting is novel, and the phenomenon where two different kinds of spiking states coexist in point-cycle type forced bursting has not been reported in previous work. A double-parameter bifurcation set of the fast subsystem is explored to reveal the transition mechanisms of different forced bursters with parameter variation.

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

Abstract: The mathematical model of CO oxidation with three time scales on platinum group metals is investigated, in which order gaps between the time scales related to external perturbation and the rates associated with different chemical reaction steps exist. Forced bursters, such as point-point type forced bursting and point-cycle type forced bursting, are presented. The bifurcation mechanism of forced bursting is novel, and the phenomenon where two different kinds of spiking states coexist in point-cycle type forced bursting has not been reported in previous work. A double-parameter bifurcation set of the fast subsystem is explored to reveal the transition mechanisms of different forced bursters with parameter variation.

Key words: CO oxidation, forced bursting, 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)

李向红, 毕勤胜. Forced bursting and transition mechanism in CO oxidation with three time scales[J]. Chin. Phys. B, 2013, 22(4): 40504-040504.

Li Xiang-Hong (李向红), Bi Qin-Sheng (毕勤胜). Forced bursting and transition mechanism in CO oxidation with three time scales[J]. Chin. Phys. B, 2013, 22(4): 40504-040504.

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Forced bursting and transition mechanism in CO oxidation with three time scales

Forced bursting and transition mechanism in CO oxidation with three time scales

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