English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/132892
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE
Exportar a otros formatos:


The transition between strong and weak chaos in delay systems: Stochastic modeling approach

AuthorsJüngling, Thomas; D'Huys, Otti; Kinzel, Wolfgang
Issue Date29-Jun-2015
PublisherAmerican Physical Society
CitationPhysical Review E 91(6): 062918 (2015)
Abstract© 2015 American Physical Society. We investigate the scaling behavior of the maximal Lyapunov exponent in chaotic systems with time delay. In the large-delay limit, it is known that one can distinguish between strong and weak chaos depending on the delay scaling, analogously to strong and weak instabilities for steady states and periodic orbits. Here we show that the Lyapunov exponent of chaotic systems shows significant differences in its scaling behavior compared to constant or periodic dynamics due to fluctuations in the linearized equations of motion. We reproduce the chaotic scaling properties with a linear delay system with multiplicative noise. We further derive analytic limit cases for the stochastic model illustrating the mechanisms of the emerging scaling laws.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.91.062918
Identifierse-issn: 1550-2376
issn: 1539-3755
Appears in Collections:(IFISC) Artículos
Files in This Item:
File Description SizeFormat 
weak_chaos_Jungling.pdf567,6 kBAdobe PDFThumbnail
Show full item record
Review this work

WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.