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Feigenbaum graphs: a complex network perspective of chaos.

التفاصيل البيبلوغرافية
العنوان: Feigenbaum graphs: a complex network perspective of chaos.
المؤلفون: Bartolo Luque, Lucas Lacasa, Fernando J Ballesteros, Alberto Robledo
المصدر: PLoS ONE, Vol 6, Iss 9, p e22411 (2011)
بيانات النشر: Public Library of Science (PLoS), 2011.
سنة النشر: 2011
المجموعة: LCC:Medicine
LCC:Science
مصطلحات موضوعية: Medicine, Science
الوصف: The recently formulated theory of horizontal visibility graphs transforms time series into graphs and allows the possibility of studying dynamical systems through the characterization of their associated networks. This method leads to a natural graph-theoretical description of nonlinear systems with qualities in the spirit of symbolic dynamics. We support our claim via the case study of the period-doubling and band-splitting attractor cascades that characterize unimodal maps. We provide a universal analytical description of this classic scenario in terms of the horizontal visibility graphs associated with the dynamics within the attractors, that we call Feigenbaum graphs, independent of map nonlinearity or other particulars. We derive exact results for their degree distribution and related quantities, recast them in the context of the renormalization group and find that its fixed points coincide with those of network entropy optimization. Furthermore, we show that the network entropy mimics the Lyapunov exponent of the map independently of its sign, hinting at a Pesin-like relation equally valid out of chaos.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1932-6203
Relation: https://www.ncbi.nlm.nih.gov/pmc/articles/pmid/21915254/pdf/?tool=EBI; https://doaj.org/toc/1932-6203
DOI: 10.1371/journal.pone.0022411
URL الوصول: https://doaj.org/article/da9f50d2850247c7b3750992e23e3b8b
رقم الأكسشن: edsdoj.9f50d2850247c7b3750992e23e3b8b
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:19326203
DOI:10.1371/journal.pone.0022411