High-frequency forced oscillations in neuronlike elements
- Others:
- Institute of Applied Physics of RAS ; Russian Academy of Sciences [Moscow] (RAS)
- Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
- COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)
- Mathématiques pour les Neurosciences (MATHNEURO) ; Inria Sophia Antipolis - Méditerranée (CRISAM) ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
- École normale supérieure - Paris (ENS-PSL) ; Université Paris sciences et lettres (PSL)
- Indiana University - Purdue University Indianapolis (IUPUI) ; Indiana University System
Description
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.
Abstract
International audience
Additional details
- URL
- https://hal.inria.fr/hal-01962910
- URN
- urn:oai:HAL:hal-01962910v1
- Origin repository
- UNICA