三变量CSTR化学反应的复杂动力学行为分析
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国家自然科学基金资助项目 (20476041,10372037)


Dynamics analysis of 3-variable onlinear chemical reaction in CSTR system
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    摘要:

    分析了一类三变量CSTR化学反应体系的动力学行为.用数值模拟的方法讨论了系统平衡态随参数变化的过程.给出了各种分岔模式及其相应的转迁集.分析发现系统平衡点通过Hopf分岔产生周期振荡现象,并进一步由倍周期分岔导致混沌.结合CSTR反应釜的反应过程,阐述了随着入料溶液中各成分比例含量的变化,整个化学系统中反应系数和反应速率从稳定阶段产生周期性变化,最后出现无规则性的化学振荡.

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    The dynamic behaviors of a three variable CSTR reaction system were analyzed. By using numerical simulation method, the variation process of the stability state along with the parameters was discussed. Several bifurcation models and the associated transition boundaries of the system were given. Analysis showed that the equilibrium point would change to periodical solution by Hopf bifurcation, and further to chaotic solution from period-doubling bifurcation. Combined with the reaction process of the CSTR, the reaction coefficient and the reaction velocity in the system will move from steady phase to periodic phase, and in the end to a ruleless chemical resonance state along with different ratios of content in input liquor.

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柴俊,张正娣.三变量CSTR化学反应的复杂动力学行为分析[J].动力学与控制学报,2007,5(1):34~38; Chai Jun, Zhang Zhengdi. Dynamics analysis of 3-variable onlinear chemical reaction in CSTR system[J]. Journal of Dynamics and Control,2007,5(1):34-38.

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  • 收稿日期:2006-08-30
  • 最后修改日期:2006-11-25
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