Reproducibility of a noisy limit-cycle oscillator induced by a fluctuating input

Abstract

Reproducibility of a noisy limit-cycle oscillator driven by a random piecewise constant signal is analyzed. By reducing the model to random phase maps, it is shown that the reproducibility of the limit cycle generally improves when the phase maps are monotonically increasing.

arXiv comment4 pages, 3 figures, Prog. Theoret. Phys. Suppl. 2006

Cited by in corpus (5)

• Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
• Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses
• Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise
• Coherence versus reliability of stochastic oscillators with delayed feedback
• Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses