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Forced bursting and transition mechanism in CO oxidation with three time scales
Authors:Li Xiang-Hong a b and Bi Qin-Sheng
Affiliation:Li Xiang-Hong a) b) and Bi Qin-Sheng 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
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.
Keywords:CO oxidation  forced bursting  bifurcation mechanism  enveloping slow-fast analysis
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