一类多分子饱和反应系统的定性分析

Qualitative Analysis of a Class of Multimolecule Saturated Reaction Systems

摘要: 研究化学反应中一类多分子饱和反应的数学模型x=a₁-xyn+a₂yⁿⁿ⁺¹y=a³+xyⁿ-a²yⁿ⁺¹-vy/(y+b).应用微分方程定性理论研究了该系统极限环的存在性、不存在性和唯一性问题.

Abstract: Studies a class of multimocule saturated reaction dynamic systems: x·=a1-xy n+a2y n+1 y·=a3+xy n-a2y n+1-vy/(y+b)? Qualitative theory of ordinary differential equations is applied in the discussion of the existance, nonexistance and uniqueness of limit cycles of the system.