多定态转变化学反应体系与环境传热-扩散耦合导致的环面型化学振荡

Torus-like Chemical Oscillation Induced by Heat Conduction-diffusion Coupling Between Chemical Reaction System Characteristic of Multi-steady States Transitions and Related Environment

以Schlgl模型作为多定态转变化学反应体系的范例,研究了通过传热及扩散与环境耦合的多定态转变化学反应体系中诱发的新动力学行为,其中特别重要的是沿慢变量方向的环面型化学振荡的出现.建立了慢流型上的准定态的线形化稳定性分析法,揭示了由极限环振荡蜕变为环面型振荡的动力学机制,不同于小寄生参数存在引起的非连续极限环振荡.通过以慢流型上准定态稳定性分区为基础的定性分析,进一步揭示了该类体系中可能出现间歇性、反复持续式和骤发式3种亚类环面振荡.最后以第三亚类作为示例,以相应的计算机模拟证实理论分析的正确性.

With Schloegl model as the chemical reaction system characteristic of multi-steady states transition, new dynamic behavior induced by both the diffusion and the heat conduction between this kind of dynamic system and its coupled environment was studied systematically in which the toms-like chemical oscillation along with slow variable is of special importance. Furthermore, a linearized stability analysis for the quasi-steady state is also established. By means of it, the dynamic mechanism dominating the transition from the limit cycle to the torus-like oscillation becomes clear. It is a new kind of chemical oscillation, different from the discontinuous limit cycle oscillation originating from the small parasitic parameters.