TRANSITION TO SPATIOTEMPORAL CHAOS IN THE DAMPED KURAMOTO-SIVASHINSKYEQUATION

Authors
ELDER KR GUNTON JD GOLDENFELD N
Citation
Kr. Elder et al., TRANSITION TO SPATIOTEMPORAL CHAOS IN THE DAMPED KURAMOTO-SIVASHINSKYEQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(2), 1997, pp. 1631-1634
Citations number
26
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
56
Issue
2
Year of publication
1997
Pages
1631 - 1634
Database
ISI
SICI code
1063-651X(1997)56:2<1631:TTSCIT>2.0.ZU;2-K
Abstract
The transition from a lamellar or periodic state to spatiotemporal cha os was examined numerically in the damped Kuramoto-Sivashinsky equatio n. The behavior of several quantities was examined near the transition as the system size was doubled five times and no systematic changes w ere observed. Thus there was no evidence to support a divergence at th e transition in the infinite system size limit. This provides strong e vidence of a discontinuous transition.