On mathematical description of spiral waves in distributed chemical systems (Q1071937)

Selfexcited oscillatory modes in a chemically active medium of general form with diffusion are studied. The reactor is in the shape of a circle with impermeable boundaries and the medium is in mechanical equilibrium. Asymptotic forms are found for the case of a near-threshold value of the parameter for two kinds of selfexcited oscillations, rotating waves and standing symmetric waves, under the assumption that a vibrational loss of chemical equilibrium stability occurs.