【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.更多还原

【Abstract】 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.更多还原