title: Effective phase dynamics of noise-induced oscillations in excitable systems.
abstract: We develop an effective description of noise-induced oscillations based on deterministic phase dynamics. The phase equation is constructed to exhibit correct frequency and distribution density of noise-induced oscillations. In the simplest one-dimensional case the effective phase equation is obtained analytically, whereas for more complex situations a simple method of data processing is suggested. As an application an effective coupling function is constructed that quantitatively describes periodically forced noise-induced oscillations.
authors.affiliation: Department of Physics and Astronomy, Potsdam University, 14476 Potsdam, Germany. jschwabedal@googlemail.com
authors.forename: Justus T C
authors.initials: JT
authors.lastname: Schwabedal
authors.forename: Arkady
authors.initials: A
authors.lastname: Pikovsky