Inferring the phase response curve from observation of a continuously perturbed oscillator

Rok Cestnik, Michael Rosenblum*

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review


Phase response curves are important for analysis and modeling of oscillatory dynamics in various applications, particularly in neuroscience. Standard experimental technique for determining them requires isolation of the system and application of a specifically designed input. However, isolation is not always feasible and we are compelled to observe the system in its natural environment under free-running conditions. To that end we propose an approach relying only on passive observations of the system and its input. We illustrate it with simulation results of an oscillator driven by a stochastic force.

Original languageEnglish
Article number13606
Pages (from-to)1-10
Number of pages10
JournalScientific Reports
Issue number1
Early online date11 Sept 2018
Publication statusPublished - Dec 2018


We thank Arkady Pikovsky, Igor Goychuk and Chunming Zheng for useful discussions. The work was supported by ITN COSMOS (funded by the European Union Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 642563). Numerical part of this work conducted by M.R. was supported by the Russian Science Foundation (Project No. 14-12-00811). We acknowledge the support of the Deutsche Forschungsgemeinschaft and Open Access Publishing Fund of University of Potsdam.

FundersFunder number
Marie Sklodowska-Curie
Horizon 2020 Framework Programme642563
Deutsche Forschungsgemeinschaft
Universität Potsdam
Russian Science Foundation14-12-00811


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