ISSN 0869-6632 (Online)
ISSN 2542-1905 (Print)

Schr¨odinger equation

Dynamics of two-component parabolic systems of schrodinger type

Issue. The paper considers the local dynamics of important for applications class of two-component nonlinear systems of parabolic equations. These systems contain a small parameter appearing in the diffusion coefficients and characterizing «closeness» of the initial system of a parabolic type to a hyperbolic one. On quite natural conditions critical cases in the problem about balance state stability are realized to linearized equation coefficients. Innovation.