title: Long-term correlations in stochastic systems with extended time-delayed feedback.
abstract: The effects of a feedback with multiple time delays on noise-induced dynamics are studied in a nonlinear system close to the Hopf instability. We show analytically and numerically that such a feedback creates two distinct time scales, which can be tuned independently by the feedback parameters. In this way, the coherence of noise-induced oscillations can be drastically improved, and an arbitrarily large correlation of oscillations can be achieved without inducing a bifurcation. This opens up new perspectives for control of stochastic dynamical systems.
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany.
authors.forename: J
authors.initials: J
authors.lastname: Pomplun
authors.forename: A G
authors.initials: AG
authors.lastname: Balanov
authors.forename: E
authors.initials: E
authors.lastname: Schöll