Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
Adaptation and Self-Organizing Systems
2015-05-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1106.3425,
title = {Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise},
author = {Shigefumi Hata and Kensuke Arai and Roberto F. Galán and Hiroya Nakao},
journal= {arXiv preprint arXiv:1106.3425},
year = {2015}
}
Comments
15 pages, 7 figures