Linear response theory in coupled phase oscillators with general coupling functions

@article{Terada2019LinearRT,
title={Linear response theory in coupled phase oscillators with general coupling functions},
author={Y. Terada and Y. Yamaguchi},
journal={arXiv: Adaptation and Self-Organizing Systems},
year={2019}
}

We develop a linear response theory through computing the asymptotic value of the order parameter from the linearized equation of continuity around the nonsynchronized reference state with the aid of the Laplace transform in time. The proposed theory is applicable to a wide class of coupled phase oscillator systems, and allows any coupling functions, any natural frequency distributions, any phase-lag parameters, and any values of a time-delay parameter. This generality is in contrast to the… CONTINUE READING