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一类多分子饱和反应模型的周期轨 被引量：1

Periodic orbits in a generalized system of multi-molecular saturated enzyme reactions
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摘要 作者讨论了一类酶作用下的饱和反应系统的定性性质和分岔现象,并利用正规形的方法得到了在唯一平衡点附近由Hopf分岔产生的小振幅极限环,然后通过构造Poincare-Bendixson环域得到了大振幅极限环的存在性. The authors discuss the qualitative properties and bifurcations of a generalized system with saturated enzyme reactions. They calculate the coefficients of the normal form and prove a unique limit cycle of small-amplitude bifurcated from the sole equilibrium. The existence of periodic solutions of large-amplitude is given by Poincare-Bendixson theorem.
作者 冷忠建 高波
机构地区 四川大学数学学院
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第4期701-704,共4页 Journal of Sichuan University(Natural Science Edition)
关键词 饱和反应 周期轨 正规形 HOPF分岔 saturated enzyme reaction, periodic solution, normal form, Hopf bifurcation
分类号 O175.12 [理学—基础数学]
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参考文献9

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引证文献1

四川大学学报（自然科学版）
2010年 第4期

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