Rare events and scale-invariant dynamics of perturbations in delayed chaotic systems.
نویسندگان
چکیده
We study the dynamics of perturbations in time-delay dynamical systems. Using a suitable space-time coordinate transformation, we find that the time evolution of the linearized perturbations (Lyapunov vector) can be described by the linear Zhang surface growth model [J. Phys. (France) 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.
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عنوان ژورنال:
- Physical review letters
دوره 92 20 شماره
صفحات -
تاریخ انتشار 2004