Invariant chaotic solutions of a nonlocal model of medium with physical nonlinearity

Abstract:
Set of invariant solutions of a nonlinear system of partial differential equations presenting a nonlocal model of multicomponent medium is studied.  It was shown that the corresponding factor system  being  the system of ordinary differential equations  has periodical and chaotic solutions. Influence of the nonlinearity of the dynamical equation of state upon the structure of the factor system solutions is investigated in more details.