Reproducibility of a noisy limit-cycle oscillator induced by a   fluctuating input
  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. 
Hiroya Nakao, Ken Nagai, and Kensuke Arai