In this paper, spherically symmetric structures of the Brusselator are calculated in detail by using the bifurcation theory. The results show that the solutions have both temporal-spacial dissipative-structures and a high coneentrative range in the centre of the sphere. These results will be greatly helpful in investigation of nuclear-type structures in biological and biochemical phenomena.

In this paper, we study the chaotic behavior of a two-photon quantum optical model. The results show that the model can exhibit chaotic behavior without any perturbation or modulation terms. The chaos is characterized by Fourier analysis and the maximal Lyapunov exponent. The properties of the chaotic behavior are also discussed. We proved that the two-photon J-C model, which contains the rotating-wave approximation, cannot exhibit chaotic behavior.