# Asymptotic periodicity in networks of degrade-and-fire oscillators

@article{Blumenthal2015AsymptoticPI, title={Asymptotic periodicity in networks of degrade-and-fire oscillators}, author={Alex Blumenthal and Bastien Fernandez}, journal={Physica D: Nonlinear Phenomena}, year={2015}, volume={323}, pages={49-56} }

## 2 Citations

Revisiting asymptotic periodicity in networks of degrade-and-fire oscillators

- MathematicsThe European Physical Journal Special Topics
- 2018

This example shows in particular that the updated conditions for asymptotic periodicity are optimal and provides a novel instance of direct impact of the topology of interactions in the global dynamics of a collective system.

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A coupled cell system is a network of dynamical systems, or "cells," coupled together. Such systems can be represented schematically by a directed graph whose nodes correspond to cells and whose…

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