线性与周期扰动对BZ反应动力学行为的影响  

Influence of the Linear and Periodic Perturbation on Dynamical Behavior in BZ Reaction

作　　者：吕翎[1] 刘艳[1] 李义[1] 邱东超[1] 曹海静[1] 

机构地区：[1]辽宁师范大学物理系,大连116029

出　　处：《Chinese Journal of Chemical Physics》2005年第5期702-706,共5页化学物理学报（英文）

基　　金：ProjectsupportedbytheNationalNatureScienceFoundationofChina(10175032)andNatureScienceFoundationofLiaoningEducationalCommittee(202122023).

摘　　要：实验测定BZ反应在其化学计量系数μ取定值1时,其动力学行为表现为单周期振荡态.理论研究了BZ反应加入线性与周期扰动后,系统动力学行为的变化.结果表明,加入线性扰动时,调节扰动参量可以拓宽系统的不稳定区域,在该区域内系统均呈现单周期振荡态;加入周期扰动时,调节扰动幅度可以使系统的演化模式由单周期振荡态转变为2np倍周期振荡态以及混沌态,系统由倍周期振荡进入混沌.这些理论研究结果也被数值模拟研究所证实.The dynamical behavior taking on single periodic oscillation state in BZ reaction was measured experimentally as the system＇s stoichiometric coefficientμ = 1. The dynamical behaviors of the system under external linear and periodic perturbation were theoretical investigated. The results show that the system has an unstable region when perturbation varies linearly, and the system only takes on single periodic oscillation state in the region. But the states of the system take on 2^np periodic oscillation and chaos under external periodic perturbation, and the dynamical behavior of the system changes from period-doubling into chaos. The theoretical results are also verified by numerical simulation studies.

关 键 词：BZ反应 扰动 振荡 倍周期 混沌 

分 类 号：O643.1[理学—物理化学]