Transition to spatiotemporal chaos in the damped Kuramoto-Sivashinsky equation

The transition from a lamellar or periodic state to spatiotemporal chaos was examined numerically in the damped Kuramoto-Sivashinsky equation. The behavior of several quantities was examined near the transition as the system size was doubled five times and no systematic changes were observed. Thus there was no evidence to support a divergence at the transition in the infinite system size limit. This provides strong evidence of a discontinuous transition. @S1063-651X~97!11908-0#