Complicated travelling wave solutions of a modelling system describing media with memory and spatial nonlocality

This work deals with a system of balance equation for mass and momentum closed by the dynamic equation of state, taking into account relaxation and spatial nonlocality. The system is shown to possess periodic, quasiperiodic and stochastic autowave solutions. A fine structure of strange attractors arising in the dynamical system is studied by means of Poincaré sections technique.