title: Amplitude death in oscillator networks with variable-delay coupling.
abstract: We study the conditions of amplitude death in a network of delay-coupled limit cycle oscillators by including time-varying delay in the coupling and self-feedback. By generalizing the master stability function formalism to include variable-delay connections with high-frequency delay modulations (i.e., the distributed-delay limit), we analyze the regimes of amplitude death in a ring network of Stuart-Landau oscillators and demonstrate the superiority of the proposed method with respect to the constant delay case. The possibility of stabilizing the steady state is restricted by the odd-number property of the local node dynamics independently of the network topology and the coupling parameters.
authors.affiliation: Institute of Physics, Faculty of Natural Sciences and Mathematics, Sts. Cyril and Methodius University, P. O. Box 162, 1000 Skopje, Macedonia.
authors.forename: Aleksandar
authors.initials: A
authors.lastname: Gjurchinovski
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany.
authors.forename: Anna
authors.initials: A
authors.lastname: Zakharova
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany.
authors.forename: Eckehard
authors.initials: E
authors.lastname: Schöll