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Title

Rare Events and Scale-Invariant Dynamics of Perturbations in Delayed Chaotic Systems

AuthorsSánchez, Alejandro D.; López, Juan M. ; Rodríguez, Miguel A. ; Matías, Manuel A.
KeywordsStatistical Mechanics
Chaotic Dynamics
Issue Date21-May-2004
PublisherAmerican Physical Society
CitationPhysical Review Letters 92, 204101 (1-4) (2004)
AbstractWe study the dynamics of perturbations in time delayed dynamical systems. Using a suitable space-time coordinate transformation, we find that the time evolution of the linearized perturbations (Lyapunov vector) can be mapped to the linear Zhang surface growth model [Y.-C. Zhang, J. Phys. France 51, 5129 (1990)], which is known to describe surface roughening driven by power-law distributed noise. As a consequence, Lyapunov vector dynamics is dominated by rare random events that lead to non-Gaussian fluctuations and multiscaling properties.
Description4 pages.-- PACS nrs.: 05.45.Jn, 05.40.–a, 89.75.Da.-- ArXiv pre-print: http://arxiv.org/abs/cond-mat/0307057
URIhttp://hdl.handle.net/10261/7453
DOIhttp://dx.doi.org/10.1103/PhysRevLett.92.204101
ISSN0031-9007
Appears in Collections:(IFCA) Artículos
(IFISC) Artículos
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