Renewal Approach to the Analysis of the Asynchronous State for Coupled Noisy Oscillators
Biological Physics
2019-12-04 v1 Neurons and Cognition
Abstract
We develop a framework in which the activity of nonlinear pulse-coupled oscillators is posed within the renewal theory. In this approach, the evolution of inter-event density allows for a self-consistent calculation that determines the asynchronous state and its stability. This framework, can readily be extended to the analysis of systems with more state variables. To exhibit this, we study a nonlinear pulse-coupled system, where couplings are dynamic and activity dependent. We investigate stability of this system and we show it undergoes a super-critical Hopf bifurcation to collective synchronization.
Keywords
Cite
@article{arxiv.1501.07799,
title = {Renewal Approach to the Analysis of the Asynchronous State for Coupled Noisy Oscillators},
author = {Farzad Farkhooi and Carl van Vreeswijk},
journal= {arXiv preprint arXiv:1501.07799},
year = {2019}
}
Comments
5 pages, 2 figures