Optimal phase response curves for stochastic synchronization of   limit-cycle oscillators by common Poisson noise
  We consider optimization of phase response curves for stochastic synchronization of non-interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functional shape for sufficiently weak signals is sinusoidal, but can differ for stronger signals. By solving the Euler-Lagrange equation associated with the minimization of the Lyapunov exponent characterizing synchronization efficiency, the optimal phase response curve is obtained. We show that the optimal shape mutates from a sinusoid to a sawtooth as the constraint on its squared amplitude is varied. 
Shigefumi Hata, Kensuke Arai, Roberto F. Gal\'an, and Hiroya Nakao
nlin.AO