Periodic switching oscillation and mechanism in a periodically switched BZ reaction  

作　　者：LI XiangHong ZHANG Chun YU Yue BI QinSheng 

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

出　　处：《Science China(Technological Sciences)》2012年第10期2820-2828,共9页中国科学（技术科学英文版）

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

摘　　要：By introducing periodic switching signal associated with illumination to the Originator,a switched mathematical model has been established.The bifurcation sets are derived based on the characteristics of the equilibrium points.Two types of periodic oscillation,such as 2T-focus/cycle periodic switching and 2T-focus/focus periodic switching,have been observed,the mechanism of which is presented through the switching relationship.The distribution of eigenvalues related to the equilibrium points determined by two subsystems is discussed to interpret oscillation-increasing and oscillation-decreasing cascades of the periodic oscillations.Furthermore,the invariant subspaces of the equilibrium point are investigated to reveal the mechanism of dynamical phenomena in the periodic switching.

关 键 词：photosensitive BZ reaction bifurcation mechanism periodic switching oscillation-increasing cascades 

分 类 号：O174[理学—数学] TP338.6[理学—基础数学]