Hiroya Nakao

TL;DR: By solving the Euler-Lagrange equation associated with the minimization of the Lyapunov exponent characterizing synchronization efficiency, the optimal phase response curve is obtained and it is shown that the optimal shape mutates from a sinusoid to a sawtooth as the constraint on its squared amplitude is varied.

TL;DR: In this paper, an effective white noise Langevin equation for a limit-cycle oscillator driven by weak stationary colored noise is derived, and the effective drift and diffusion coefficients are given in terms of the phase sensitivity of the oscillator and the correlation function of the noise, explicitly calculated for oscillators with sinusoidal phase sensitivity functions driven by two typical colored Gaussian processes.

TL;DR: In this article, the phase-reduction analysis was applied to examine synchronization properties of periodic fluid flows, and the phase dynamics of unsteady flows were described in terms of phase dynamics reducing the high-dimensional fluid flow to its single scalar phase variable.

TL;DR: In this paper, a general theoretical framework of semiclassical phase reduction for analyzing synchronization of quantum limit-cycle oscillators is developed, where the dynamics of quantum dissipative systems exhibiting limitcycle oscillations are reduced to a simple, one-dimensional classical stochastic differential equation.

TL;DR: In this paper, the phase description of oscillatory convection in a cylindrical Hele-Shaw cell is formulated as a phase reduction method for limit-torus solutions in infinite-dimensional dynamical systems.