text: Solutions of the Kuramoto–Sivashinsky equation possess rich dynamical characteristics. Considered on a periodic domain , the dynamics undergoes a series of bifurcations as the domain size  is increased, culminating in the onset of chaotic behavior. Depending on the value of , solutions may include equilibria, relative equilibria, and traveling waves—all of which typically become dynamically unstable as  is increased. In particular, the transition to chaos occurs by a cascade of period-doubling bifurcations.