High-frequency forced oscillations in neuronlike elements

dc.contributor.authorZakharov, D. G.
dc.contributor.authorKrupa, M.
dc.contributor.authorGutkin, B. S.
dc.contributor.authorKuznetsov, A. S.
dc.contributor.departmentMechanical and Energy Engineering, School of Engineering and Technologyen_US
dc.date.accessioned2019-03-28T16:54:08Z
dc.date.available2019-03-28T16:54:08Z
dc.date.issued2018-06
dc.description.abstractWe 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.en_US
dc.eprint.versionFinal published versionen_US
dc.identifier.citationZakharov, 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.97.062211en_US
dc.identifier.urihttps://hdl.handle.net/1805/18699
dc.language.isoenen_US
dc.publisherAPSen_US
dc.relation.isversionof10.1103/PhysRevE.97.062211en_US
dc.relation.journalPhysical Review Een_US
dc.sourcePublisheren_US
dc.subjectrelaxation oscillatoren_US
dc.subjecthigh-frequency oscillationen_US
dc.subjectneuroscienceen_US
dc.titleHigh-frequency forced oscillations in neuronlike elementsen_US
dc.typeArticleen_US
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