Single-Hopf Bursting in Periodic Perturbed Belousov–Zhabotinsky Reaction with Two Time Scales  

作　　者：LI Xiang-Hong BI Qin-Sheng 李向红;毕勤胜(Department of Mathematics and Physics,Shijiazhuang Tiedao University,Shijiazhuang 050043;Faculty of Civil Engineering and Mechanics,Jiangsu University,Zhenjiang 212013)

机构地区：[1]Department of Mathematics and Physics,Shijiazhuang Tiedao University,Shijiazhuang 050043 [2]Faculty of Civil Engineering and Mechanics,Jiangsu University,Zhenjiang 212013

出　　处：《Chinese Physics Letters》2013年第1期37-40,共4页中国物理快报（英文版）

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

摘　　要：By introducing weak periodic perturbation to the Oregonator,we investigate a mathematical model with two time scales.The novel dynamical phenomena called the single-Hopf bursting with unusually quiescent state are observed.The related bifurcation mechanism is presented by means of the transition portrait and slow-fast analysis,which has rarely been reported in the previous works associated with the Oregonator model.Furthermore,the influence of forcing amplitude on bursting behaviors is studied.Further investigation finds that excitation amplitude may play an important role in a two-timescale system with the slow procedure dominated by periodic perturbation.

关 键 词：HOPF PERIODIC PERIODIC 

分 类 号：O17[理学—数学]