Invariant chaotic and quasi-periodic solutions of nonlinear nonlocal models of relaxing media

A set of invariant solutions of a nonlinear system of partial differential equations presentinga nonlocal model of multicomponent medium is studied. It was shown that the corresponding factorized system being the system of ordinary differential equations has periodic and chaotic solutions. The influence of nonlinearity and nonlocality of the dynamical equation of state upon the structure of the reduced system solutions is investigated in detail.