Unfortunately, these perturbations can not be joined continuously to those of the interaction region.
Statistical mechanical implications of these perturbations are described.
Change in the self-system is explained by perturbations in the life of the individual.
Our computations give some evidence that these travelling waves are stable even to large perturbations.
In this case a perfect hexagonal pattern, which is stable under symmetric perturbations, is perturbed asymmetrically.
If, for example, the attractor of the parabolic limit equation is chaotic, then trajectories are sensitive to perturbations.
In experiments and numerical simulations, stable spatially-periodic patterns typically arise through small, localized perturbations of the underlying unstable background state.
Our stability analysis, for perturbations of localized solutions, typically leads to singularly perturbed eigenvalue problems with spatially inhomogeneous coefficients that are difficult to study analytically.
