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Intermittency induced by attractor-merging crisis in the Kuramoto-Sivashinsky equation
Erico L Rempel1, Abraham C-L Chian
1National Institute for Space Research (INPE), World Institute for Space Environment Research, P.O. Box 515, São José dos Campos, São Paulo, 12227-010, Brazil.
Abstract:
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.
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