Visualization of correlation cascade in spatio-temporal chaos using wavelets

Simple item page
dc.creatorNakao, Hiroya
dc.creatorMishiro, Tsuyoshi
dc.creatorYamada, Michio
dc.date2000-07-03
dc.date.accessioned2026-07-07T08:08:55Z
dc.date.available2026-07-07T08:08:55Z
dc.descriptionWe propose a simple method to visualize spatio-temporal correlation between scales using wavelets, and apply it to two typical spatio-temporally chaotic systems, namely to coupled complex Ginzburg-Landau oscillators with diffusive interaction, and those with non-local interaction. Reflecting the difference between underlying dynamical processes, our method provides distinctive results for those two systems. Especially, for the non-locally interacting case where the system exhibits fractal amplitude patterns and power-law spectrum, it clearly visualizes the dynamical cascade process of spatio-temporal correlation between scales.
dc.description9 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/nlin/0007003
dc.identifierhttp://arxiv.org/abs/nlin/0007003
dc.identifierInt. J. Bif. Chaos 11 (2001) 1483
dc.identifierdoi:10.1142/S0218127401002833
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131423
dc.subjectChaotic Dynamics
dc.titleVisualization of correlation cascade in spatio-temporal chaos using wavelets
dc.typetext

Files

Collections

arXiv