Nonlinear dynamics of a self-igniting reaction-diffusion system

The dynamics is characterized of the self-ignition in a reaction-diffusion system by employing the direct simulation of a PDE-based model, and a continuation approach. This approach permits to analyze and accurately describe a period-doubling cascade, and to consider the problem of the detn. of different routes to chaos. Multiplicity of dynamic steady states is obsd., with coexistence of torus doubling sequences and of period-adding bifurcation sequences