Динамика диссипативных структур в параболической задаче с преобразованием отражения пространственной переменной

The properties of the stationary structures in a nonlinear optical resonator with lateral inversions transformer in feedback are investigated. The mathematical description of optical structures is based on the scalar parabolic equation with inversion spatial arguments and Neumann's condition on the segment. We determine the forms of stationary structures and investigate its stability as the diffusion coefficient decrease, parabolic equation, bifurcation, stationary structure, stability, center manifold.