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Rare Events and Scale--Invariant Dynamics of Perturbations in Delayed Dynamical Systems | | Alejandro D. Sanchez
; Juan M. Lopez
; Miguel A. Rodriguez
; Manuel A. Matias
; ( Instituto de Fisica de Cantabria
; Spain
; Instituto Mediterraneo de Estudios Avanzados
; | | Date: |
2 Jul 2003 | | Journal: | Phys. Rev. Lett. 92, 204101 (2004) | | Subject: | Statistical Mechanics; Chaotic Dynamics | cond-mat.stat-mech nlin.CD | | Affiliation: | Instituto de Fisica de Cantabria (IFCA), Spain, Instituto Mediterraneo de Estudios Avanzados (IMEDEA), Spain | | 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 {f 51}, 2129 (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. | | Source: | arXiv, cond-mat/0307057 | | Services: | Forum | Review | PDF | Favorites | |
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