Escape Time Weighting of Unstable Stationary Solutions of Spatiotemporal Chaos

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dc.creatorZoldi, Scott M.
dc.date1999-03-17
dc.date.accessioned2026-07-07T02:35:40Z
dc.date.available2026-07-07T02:35:40Z
dc.descriptionBy computing 254 unstable stationary solutions of the Kuramoto-Sivashinsky equation in the extensive chaos regime (Lyapunov fractal dimension D=8.8), we find that 30% satisfy the symmetry of the time-average pattern of the spatiotemporal chaos. Using a symmetry pruning of unstable stationary solutions, the escape-time weighting average converges to the time-average pattern of the chaotic attractor as O(1/N), where N is the total number of unstable stationary solutions and unstable periodic orbits in the average.
dc.description3 Figures
dc.identifierhttps://arxiv.org/abs/chao-dyn/9903020
dc.identifierhttp://arxiv.org/abs/chao-dyn/9903020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15696
dc.subjectChaotic Dynamics
dc.titleEscape Time Weighting of Unstable Stationary Solutions of Spatiotemporal Chaos
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