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arXiv · 1106.3425

Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise

Shigefumi Hata·Kensuke Arai·Roberto F. Galán·Hiroya Nakao
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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.

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Shigefumi Hata, Kensuke Arai, Roberto F. Galán, Hiroya Nakao. 2011-06-17. Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise. https://doi.org/10.1103/physreve.84.016229

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