Ss. Yerrapragada et al., ANALYSIS OF BIFURCATION PATTERNS IN REACTION-DIFFUSION SYSTEMS - EFFECT OF EXTERNAL NOISE ON THE BRUSSELATOR MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(5), 1997, pp. 5248-5260
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.