The Stability, Chemical Oscillation and Chaos in the Hyperbolic Reaction-diffusion Equation for the Low-concentrational Brusselator

We theoretically analyse the stability and existence condition of traveling wave solution in the hyperbolic reaction-diffusion equation for the low-concentrational Brusselator. and we also compare the reaults of the hyperbolic equation with those of the parabolic equation. Then the nuymerical calculations are made. The numerical results show that the hyperbolic equation may exhibit the chemical oscillation and chaos under certain conditions with the variation of the parameter N.