Sensitive boundary condition dependence of noise-sustained structure

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dc.creatorFujimoto, Koichi
dc.creatorKaneko, Kunihiko
dc.date1999-11-17
dc.date.accessioned2026-07-07T02:36:03Z
dc.date.available2026-07-07T02:36:03Z
dc.descriptionSensitive boundary condition dependence (BCD) is reported in a convectively unstable system with noise, where the amplitude of generated oscillatory dynamics in the downstream depends sensitively on the boundary value. This BCD is explained in terms of the manner in which the co-moving Lyapunov exponent (characterizing the convective instability) decreases from upstream to downstream. It is shown that a fractal BCD appears if the dynamics that represent the spatial change of the fixed point includes transient chaotic dynamics. By considering as an example a one-way-coupled map lattice, this theory for BCD is demonstrated.
dc.description9 pages (LaTeX) including 6 figures
dc.identifierhttps://arxiv.org/abs/chao-dyn/9911022
dc.identifierhttp://arxiv.org/abs/chao-dyn/9911022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15782
dc.subjectChaotic Dynamics
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectDisordered Systems and Neural Networks
dc.titleSensitive boundary condition dependence of noise-sustained structure
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