Rare events and scale-invariant dynamics of perturbations in delayed chaotic systems.
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.
Sánchez
Alejandro D
AD
Instituto de Física de Cantabria (CSIC-UC), E-39005 Santander, Spain.
López
Juan M
JM
Rodríguez
Miguel A
MA
Matías
Manuel A
MA