title: Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise.
abstract: We consider optimization of phase response curves for stochastic synchronization of noninteracting 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.
authors.affiliation: Department of Physics, Kyoto University, Kyoto, Japan.
authors.forename: Shigefumi
authors.initials: S
authors.lastname: Hata
authors.forename: Kensuke
authors.initials: K
authors.lastname: Arai
authors.forename: Roberto F
authors.initials: RF
authors.lastname: Galán
authors.forename: Hiroya
authors.initials: H
authors.lastname: Nakao
mesh_terms: D016014:Linear Models; D016011:Normal Distribution; D016012:Poisson Distribution; D013269:Stochastic Processes