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Feigenbaum graphs at the onset of chaos
Citation
Luque Serrano, Bartolome and Lacasa Saiz de Arce, Lucas and Robledo, Alberto (2012). Feigenbaum graphs at the onset of chaos. "Physics Letters a", v. 376 ; pp. 3625-3629. ISSN 0375-9601. https://doi.org/10.1016/j.physleta.2012.10.050.
Description
| Title: | Feigenbaum graphs at the onset of chaos |
|---|---|
| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Physics Letters a |
| Date: | 2012 |
| ISSN: | 0375-9601 |
| Volume: | 376 |
| Subjects: | |
| Faculty: | E.T.S.I. Aeronáuticos (UPM) |
| Department: | Matemática Aplicada y Estadística [hasta 2014] |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
We analyze the properties of networks obtained from the trajectories of unimodal maps at the transi- tion to chaos via the horizontal visibility (HV) algorithm. We find that the network degrees fluctuate at all scales with amplitude that increases as the size of the network grows, and can be described by a spectrum of graph-theoretical generalized Lyapunov exponents. We further define an entropy growth rate that describes the amount of information created along paths in network space, and find that such en- tropy growth rate coincides with the spectrum of generalized graph-theoretical exponents, constituting a set of Pesin-like identities for the network.
Funding Projects
| Type | Code | Acronym | Leader | Title |
|---|---|---|---|---|
| Madrid Regional Government | FIS2009-13690 / S2009ESP-1691 | Unspecified | Unspecified | Unspecified |
More information
| Item ID: | 16711 |
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| DC Identifier: | https://oa.upm.es/16711/ |
| OAI Identifier: | oai:oa.upm.es:16711 |
| DOI: | 10.1016/j.physleta.2012.10.050 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 13 Nov 2014 16:20 |
| Last Modified: | 30 Nov 2022 09:00 |
