Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses
arXiv:0903.2112 · doi:10.1103/PhysRevE.78.066220
Abstract
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.
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Cited by in corpus (3)
- Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
- Synchronization of uncoupled oscillators by common gamma impulses: from phase locking to noise-induced synchronization
- Criterion for noise-induced synchronization: application to colloidal alignment