ANALYSIS OF BIFURCATION PATTERNS IN REACTION-DIFFUSION SYSTEMS - EFFECT OF EXTERNAL NOISE ON THE BRUSSELATOR MODEL

A detailed stochastic analysis of the Brusselator scheme has been perf ormed to bring out the effect of external noise on the system. The dif fusion parameter D-x was taken to be fluctuated by external noise and a complete solution diagram with the composition variables X and Y has been generated. These noise-induced I transitions reveal that this sy stem attains a stable state not described by its deterministic analysi s. The stochastic analyses also reveal that the structural stability o f such systems is disturbed even for a slight external perturbation in the bifurcation parameter, and in a certain range of noise intensity (sigma) and correlation time (tau) some different spatial and temporal structures arise.