Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses
| dc.creator | Arai, Kensuke | |
| dc.creator | Nakao, Hiroya | |
| dc.date | 2009-03-12 | |
| dc.date.accessioned | 2026-07-07T12:51:51Z | |
| dc.date.available | 2026-07-07T12:51:51Z | |
| dc.description | Populations of uncoupled limit-cycle oscillators receiving common random impulses show various types of phase-coherent states, which are characterized by the distribution of phase differences between pairs of oscillators. We develop a theory to predict the stationary distribution of pairwise phase difference from the phase response curve, which quantitatively encapsulates the oscillator dynamics, via averaging of the Frobenius-Perron equation describing the impulse-driven oscillators. The validity of our theory is confirmed by direct numerical simulations using the FitzHugh-Nagumo neural oscillator receiving common Poisson impulses as an example. | |
| dc.identifier | https://arxiv.org/abs/0903.2112 | |
| dc.identifier | http://arxiv.org/abs/0903.2112 | |
| dc.identifier | Phys. Rev. E 78, 066220 (2008) | |
| dc.identifier | doi:10.1103/PhysRevE.78.066220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223123 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.title | Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses | |
| dc.type | text |