周期扰动位相对化学振荡的调制效应

由Rossler反应系统的理论模型出发,构造一种具有外部周期扰动的新动力学系统,并采用逆算符法和数值分析法研究该系统的振荡态在周期扰动调制下的动力学行为.结果表明,在周期扰动的调制下,系统的状态由单周期振荡态(1p)变为周期2(2p)、周期4(4p)等多周期振荡态以及混沌态.扰动位相是系统呈现上述多种演化模式的控制参数,在扰动位相不同的数值区间,系统呈现的演化模式不同,而且扰动位相数值的微小改变,还影响每种演化模式的内部结构.

Modulation Effect of Periodic Phase to Chemical Oscillation

Based on the theoretical model of Rossler reaction system, a new dynamical system under external periodic perturbation modulation is constructed. The dynamical behavior of oscillatory state in the new system is investigated by using of the inverse operator method and the numerical analysis method because the inverse operator method is of high precision, quick convergence for the solution of nonlinear equations. The results show that the dynamical behavior of the system takes place notable changes and takes on many new evolution patterns under the external modulation of the periodic perturbation. For examples, the single periodic oscillation in the system which perturbation is not added is evolved to multi-period oscillatory states, such as period two (2P), period four(4P),…, 2nP and chaos when the system is modulated by periodic perturbation. It is found that the parameter of the perturbation phase (PP) is the most sensitive and the highest efficient in the modulation process if only one parameter is modulated while others are kept constant. In the same time, the new evolution patterns of the system (multi-period oscillatory state and chaos) will take on in the different numerical regions of the PP, and the small number change of the PP can influence internal construction of each evolution pattern although evolution patterns of the system don′t change.