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Rempel EL, Chian AC. Intermittency induced by attractor-merging crisis in the Kuramoto-Sivashinsky equation. Phys Rev E Stat Nonlin Soft Matter Phys. 2005;71(1):016203doi: 10.1103/PhysRevE.71.016203.
Rempel, E. L., & Chian, A. C. (2005). Intermittency induced by attractor-merging crisis in the Kuramoto-Sivashinsky equation. Physical review. E, Statistical, nonlinear, and soft matter physics, 71(1), 016203. https://doi.org/10.1103/PhysRevE.71.016203
Rempel, Erico L, and Chian, Abraham C-L. "Intermittency induced by attractor-merging crisis in the Kuramoto-Sivashinsky equation." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 71,1 (2005): 016203. doi: https://doi.org/10.1103/PhysRevE.71.016203
Rempel EL, Chian AC. Intermittency induced by attractor-merging crisis in the Kuramoto-Sivashinsky equation. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jan;71(1):016203. doi: 10.1103/PhysRevE.71.016203. Epub 2005 Jan 03. PMID: 15697694.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jan;71(1):016203. doi: 10.1103/PhysRevE.71.016203. Epub 2005 Jan 03.

Intermittency induced by attractor-merging crisis in the Kuramoto-Sivashinsky equation.

Physical review. E, Statistical, nonlinear, and soft matter physics

Erico L Rempel, Abraham C-L Chian

Affiliations

  1. 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.

PMID: 15697694 DOI: 10.1103/PhysRevE.71.016203

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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