MODES OF PROPAGATION OF SELF-EXCITED WAVES.

A study is made of the two-dimensional distributed self-excited system consisting of diffuison-coupled Van der Pohl oscillators which describes, for example, the motion of the front in nonstationary gas-free combustions. Solutions are examined in the form of waves travelling along the radius in the case of a distinct center, which correspond to the ″limiting mode″ of combustion observed under certain conditions. The spectrum of these waves in the region of large wave numbers is derived for the case where there is a boundary radius. It is shown for the case of an unbounded medium that the wave nonstationary state with the passage of time is replaced by a stationary vortex state corresponding to the experimentally observed spin combustion mode, and the nonstationary state is replaced by a stationary one which propagates from the center to the edge with a speed inversely proportional to the distance from the center.