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

作　　者：李向红 毕勤胜 

机构地区：[1]Faculty of Civil Engineering and Mechanics, Jiangsu University [2]Department of Mathematics and Physics, Shijiazhuang Tiedao University

出　　处：《Chinese Physics B》2013年第4期161-166,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 20976075, 10972091, and 11002093);the College Graduate Student Scientific Research Innovation Foundation of Jiangsu Province, China (Grant No. CXLX12-0619)

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.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 

分 类 号：O415[理学—理论物理]