Zakharov, D. G.Krupa, M.Gutkin, B. S.Kuznetsov, A. S.2019-03-282019-03-282018-06Zakharov, D. G., Krupa, M., Gutkin, B. S., & Kuznetsov, A. S. (2018). High-frequency forced oscillations in neuronlike elements. Physical Review E, 97(6–1), 062211. https://doi.org/10.1103/PhysRevE.97.062211https://hdl.handle.net/1805/18699We analyzed a generic relaxation oscillator under moderately strong forcing at a frequency much greater that the natural intrinsic frequency of the oscillator. Additionally, the forcing is of the same sign and, thus, has a nonzero average, matching neuroscience applications. We found that, first, the transition to high-frequency synchronous oscillations occurs mostly through periodic solutions with virtually no chaotic regimes present. Second, the amplitude of the high-frequency oscillations is large, suggesting an important role for these oscillations in applications. Third, the 1:1 synchronized solution may lose stability, and, contrary to other cases, this occurs at smaller, but not at higher frequency differences between intrinsic and forcing oscillations. We analytically built a map that gives an explanation of these properties. Thus, we found a way to substantially “overclock” the oscillator with only a moderately strong external force. Interestingly, in application to neuroscience, both excitatory and inhibitory inputs can force the high-frequency oscillations.enrelaxation oscillatorhigh-frequency oscillationneuroscienceArticle