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Influence of the Linear and Periodic Perturbation on Dynamical Behavior in BZ Reaction
Lü Ling*       ,Liu Yan,Li Yi,Qiu Dongchao, Cao Haijing
Author NameAffiliationE-mail
Lü Ling* Department of Physics, Liaoning Normal University, Dalian 116029 lshdg@sina.com.cn 
Liu Yan Department of Physics, Liaoning Normal University, Dalian 116029  
Li Yi Department of Physics, Liaoning Normal University, Dalian 116029  
Qiu Dongchao Department of Physics, Liaoning Normal University, Dalian 116029  
Cao Haijing Department of Physics, Liaoning Normal University, Dalian 116029  
Abstract:
The dynamical behavior taking on single periodic oscillation state in BZ reaction was measured experimentally as the system′s stoichiometric coefficient μ=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 2np 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.
Key words:  BZ reaction, Perturbation, Oscillation, Period-doubling, Chaos
FundProject:
线性与周期扰动对BZ反应动力学行为的影响
吕翎*,刘艳,李义,邱东超,曹海静
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.
关键词:  BZ反应  扰动  振荡  倍周期  混沌
DOI:10.1088/1674-0068/18/5/702-706
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