@article{SchwabedalPikovskij2010, author = {Schwabedal, Justus T. C. and Pikovskij, Arkadij}, title = {Effective phase dynamics of noise-induced oscillations in excitable systems}, issn = {1539-3755}, doi = {10.1103/Physreve.81.046218}, year = {2010}, 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.}, language = {en} }