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| Title: | Rare Events and Scale-Invariant Dynamics of Perturbations in Delayed Chaotic Systems |
| Authors: | Sánchez, Alejandro D.; López, Juan M.  ; Rodríguez, Miguel A. ; Matías, Manuel A. |
| Keywords: | Statistical Mechanics Chaotic Dynamics |
| Issue Date: | 21-May-2004 |
| Publisher: | American Physical Society |
| Citation: | Physical Review Letters 92, 204101 (1-4) (2004) |
| Abstract: | We 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. |
| Description: | 4 pages.-- PACS nrs.: 05.45.Jn, 05.40.–a, 89.75.Da.-- ArXiv pre-print: http://arxiv.org/abs/cond-mat/0307057 |
| URI: | http://hdl.handle.net/10261/7453 |
| DOI: | http://dx.doi.org/10.1103/PhysRevLett.92.204101 |
| ISSN: | 0031-9007 |
| Appears in Collections: | (IFCA) Artículos (IFISC) Artículos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| PRL04101.pdf | Published version | 143,37 kB | Adobe PDF |  View/Open |
| 0307057.pdf | ArXiv pre-print | 184,69 kB | Adobe PDF |  View/Open |
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