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