在周期外力激励下双分子自催化反应系统的动力学行为(Ⅰ)

DYNAMICAL BEHAVIOR OF BIMOLECULAR AUTOCATALYTIC REACTION SYSTEM EXCITED BY PERIODIC EXTERNAL FORCE

本文提出对文献建立的双分子自催化反应系统加入周期性反应物料流的激励作用,建立一个新的受激励的化学振子模型。对该模型数值求解,发现在控制参数ρ、ω_0(激励项的振幅和频率)的某个取值范围内,存在倍周期分支和混沌行为。

An excitation action throgh the periodic injection of reaction material into a bimolecular autocatalyic reaction syst- em reported by reference[9]has been studied,and a new excit- ed chemical osciallation model suggested.By solving the model numerically,it is discovered that the system showed period- doubling bifurcations and chaos as the values of the parameters ρand ω_0 are controlled within some certain range,