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...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.展开更多
文摘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.
基金Supported by the National Natural Science Foundation of China (90111011 and 10471039)the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304)the Key Project of the Chinese Academy of Sciences (KZCX3-SW-221)in part by E-Insitutes of Shanghai Municipal Education Commission (N.E03004)
