Intermittency induced by attractor-merging crisis in the Kuramoto-Sivashinsky equation.
We characterize an attractor-merging crisis in a spatially extended system exemplified by the Kuramoto-Sivashinsky equation. The simultaneous collision of two coexisting chaotic attractors with an unstable periodic orbit and its associated stable manifold occurs in the high-dimensional phase space of the system, giving rise to a single merged chaotic attractor. The time series of the post-crisis regime displays intermittent behavior. The origin of this crisis-induced intermittency is elucidated in terms of alternate switching between two chaotic saddles embedded in the merged chaotic attractor.
Rempel
Erico L
EL
National Institute for Space Research (INPE), World Institute for Space Environment Research, P.O. Box 515, São José dos Campos, São Paulo, 12227-010, Brazil.
Chian
Abraham C-L
AC