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Citation: ng Yu-Bin. Nonlinear Theory of the Hyperbolic Reaction-Diffusion Equations for the Low-Concentration Brusselator-Wave Equations[J]. Acta Physico-Chimica Sinica, ;1998, 14(10): 913-918. doi: 10.3866/PKU.WHXB19981010 shu

Nonlinear Theory of the Hyperbolic Reaction-Diffusion Equations for the Low-Concentration Brusselator-Wave Equations

ng Yu-Bin

1.
Cepartment of Physics,Yantai Teachers University,Shandong 264025

Received Date: 28 December 1997
Available Online: 15 October 1998

The wave equations of the hyperbolic reaction-diffusion equations for the low-concentration Brusselator are developed, and the stability of steady state, especially Turing instability, is studied. The results show that the Turing instability in hyperbolic equations is not confined by the condition that coefficients are not equal(Dx≠Dy). Bifurcation analyses are carried out and the limit cycle is discussed. The numerical studies are also made.
- Brussellator,
- Hyperbolic(Parabolic) reaction-diffusion equation,
- Turing instability,
- Bifureation analysis
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