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全混釜内酵母培养系统稳定性的数学分析 被引量:1

Mathematical analysis of the stability of saccharomyces cerevisiae culture system in CSTR
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摘要 运用非线性动力学现代分析方法Hopf分岔理论 ,研究了全混釜内酵母培养系统的稳定性问题 ,得出其Hopf分岔范式 ,给出了振荡存在的区间、临界点处的周期及解析解 ,并考察了周期解及定常解的稳定性。 A modern analytic method of nonlinear dynamics, the Hopf bifurcation theory, is used to study the stability of S . cerevisiae culture system in CSTR. A normal form of the Hopf bifurcation is obtained. The region in which oscillation exists, the period and the analytic solution at the critical point are also obtained. The stability of steady solution and periodic solution are studied.
出处 《北京化工大学学报(自然科学版)》 EI CAS CSCD 2000年第2期5-9,共5页 Journal of Beijing University of Chemical Technology(Natural Science Edition)
关键词 稳定性分析 生物反应 反应器 酵母培养系统 发酵 periodic oscillation bifurcation theory stability analysis
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