Excitation fronts on a periodically modulated curved surface

The evolution of an excitation front propagating on a nonuniformly curved s urface is considered within the framework of a kinematical model of its mot ion. For the case of a surface with a periodically modulated curvature an e xact solution of the front shape is obtained under the assumption of suffic iently small surface deformation. The results of the theoretical considerat ion are compared with the experimental data obtained with a modified Belous ov-Zhabotinsky reaction in a thin nonuniformly curved layer.