摘要
The Stability and chemical oscillation of the hyperbolic reaction-diffusion equationsfor glycolysis model are studied and compared with that of the corresponding parabolic equations.The results show that the parabolic equation is the limiting case of the hyperbolic system whenthe reaction-dchsion number Nrd →∞, and that the divergence of the wave speed, which ex-ists in the parabolic system, does not appear in the hroerbolic one. The stabilities of these twosysterns are significantly different. The hyperbolic system may exist in chaos state under certainconditions. It is shown that the hyperbolic system is more suitatle to be used as the model forstudying chendcal oscillations.
The Stability and chemical oscillation of the hyperbolic reaction-diffusion equationsfor glycolysis model are studied and compared with that of the corresponding parabolic equations.The results show that the parabolic equation is the limiting case of the hyperbolic system whenthe reaction-dchsion number Nrd →∞, and that the divergence of the wave speed, which ex-ists in the parabolic system, does not appear in the hroerbolic one. The stabilities of these twosysterns are significantly different. The hyperbolic system may exist in chaos state under certainconditions. It is shown that the hyperbolic system is more suitatle to be used as the model forstudying chendcal oscillations.
出处
《物理化学学报》
SCIE
CAS
CSCD
北大核心
1997年第5期466-472,共7页
Acta Physico-Chimica Sinica
关键词
糖醇解
模型
非线性
化学振荡
反应扩散方程
Glycolysis model, Hyperbolic (parabolic) reaction-diffusion equation, Nonlinearity
