力学季刊
力學季刊
역학계간
CHINESE QUARTERLY OF MECHANICS
2010年
1期
29-36
,共8页
时滞%耦合化学反应%周期扰动%概周期%混沌
時滯%耦閤化學反應%週期擾動%概週期%混沌
시체%우합화학반응%주기우동%개주기%혼돈
time delay%coupling chemical reaction%periodic perturbation%quasi-periodic%chaos
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.
在耦閤自催化反應繫統中,採用數值分析方法研究瞭攷慮時滯效應和流速擾動時子繫統的動力學行為.與原繫統相比,該繫統呈現齣更加豐富的動力學現象.反應過程中齣現瞭結構複雜的混沌吸引子和由在週期解鄰域內振盪而產生的概週期運動,併且存在混沌由倍週期分岔縯變為新的混沌吸引子的過程.這些結果對于解釋耦閤化學反應繫統中的複雜現象、揭示其反應機理具有一定的指導意義.
재우합자최화반응계통중,채용수치분석방법연구료고필시체효응화류속우동시자계통적동역학행위.여원계통상비,해계통정현출경가봉부적동역학현상.반응과정중출현료결구복잡적혼돈흡인자화유재주기해린역내진탕이산생적개주기운동,병차존재혼돈유배주기분차연변위신적혼돈흡인자적과정.저사결과대우해석우합화학반응계통중적복잡현상、게시기반응궤리구유일정적지도의의.
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 solution 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.