Abstract By using the spectrum theory of the linear completely continuous fields and transition theory, the bifurcation and transition of the solar granulation are studied and the existence of granulation is verified. With certain assumption, the eigenvalues, eigenvectors and bifurcation solution are obtained. Finally, the estimation of diameter for granulation is obtained from the model, which can fit the actual data approximately.
LI Jun-yan, LI Hai-yan. The bifurcation and transition for the granulation. Applied Mathematics A Journal of Chinese Universities, 2017, 32(3): 353-360.