考虑时滞效应时耦合化学反应系统的动力学行为  

Dynamical Behaviors of Coupling Chemical Reaction System with Time Delay

作　　者：安媛[1] 毕勤胜[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《力学季刊》2010年第1期29-36,共8页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(10872080);江苏大学高级人才基金(09JDG011)

摘　　要：在耦合自催化反应系统中,采用数值分析方法研究了考虑时滞效应和流速扰动时子系统的动力学行为。与原系统相比,该系统呈现出更加丰富的动力学现象。反应过程中出现了结构复杂的混沌吸引子和由在周期解邻域内振荡而产生的概周期运动,并且存在混沌由倍周期分岔演变为新的混沌吸引子的过程。这些结果对于解释耦合化学反应系统中的复杂现象、揭示其反应机理具有一定的指导意义。The dynamical behaviors of subsystem in coupling chemical reaction system with time delay as well as velocity perturbation were studied by numerical simulation. More abundant dynamical behaviors were presented compared with the original system. Complicated chaotic attractors and quasi-periodic solu- tion caused by the oscillation around the original orbit of the periodic solution appear in this reaction process. Furthermore, the original chaotic attractor will evolve into a new one through period-doubling bifurcation. The result seems to be important for us to understand the complexity and reveal the reaction mechanism in coupling chemical reaction system.

关 键 词：时滞 耦合化学反应 周期扰动 概周期 混沌 

分 类 号：O322[理学—一般力学与力学基础]