High-frequency forced oscillations in neuronlike elements
dc.contributor.author | Zakharov, D. G. | |
dc.contributor.author | Krupa, M. | |
dc.contributor.author | Gutkin, B. S. | |
dc.contributor.author | Kuznetsov, A. S. | |
dc.contributor.department | Mechanical and Energy Engineering, School of Engineering and Technology | en_US |
dc.date.accessioned | 2019-03-28T16:54:08Z | |
dc.date.available | 2019-03-28T16:54:08Z | |
dc.date.issued | 2018-06 | |
dc.description.abstract | We 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.version | Final published version | en_US |
dc.identifier.citation | Zakharov, 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.97.062211 | en_US |
dc.identifier.uri | https://hdl.handle.net/1805/18699 | |
dc.language.iso | en | en_US |
dc.publisher | APS | en_US |
dc.relation.isversionof | 10.1103/PhysRevE.97.062211 | en_US |
dc.relation.journal | Physical Review E | en_US |
dc.source | Publisher | en_US |
dc.subject | relaxation oscillator | en_US |
dc.subject | high-frequency oscillation | en_US |
dc.subject | neuroscience | en_US |
dc.title | High-frequency forced oscillations in neuronlike elements | en_US |
dc.type | Article | en_US |