@inproceedings{3a15abcf2f0048718573a9490db2f74d,
title = "Synchronization bound for networks of nonlinear oscillators",
abstract = "Investigation of synchronization phenomena in networks of coupled nonlinear oscillators plays a pivotal role in understanding the behavior of biological and mechanical systems with oscillatory properties. We derive a general sufficient condition for synchronization of a network of nonlinear oscillators using a nonsmooth Lyapunov function, and we obtain conditions under which synchronization is guaranteed for a network of Fitzhugh-Nagumo (FN) oscillators in biologically relevant model parameter regimes. We incorporate two types of heterogeneity into our study of FN oscillators: 1) the network structure is arbitrary and 2) the oscillators have non-identical external inputs. Understanding the effects of heterogeneities on synchronization of oscillators with inputs provides a promising step toward control of key aspects of networked oscillatory systems.",
keywords = "Complex Networked Systems, Lyapunov Analysis, Nonlinear Oscillators, Synchronization",
author = "Davison, {Elizabeth N.} and Biswadip Dey and Leonard, {Naomi Ehrich}",
year = "2017",
month = feb,
day = "10",
doi = "10.1109/ALLERTON.2016.7852359",
language = "English (US)",
series = "54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1110--1115",
booktitle = "54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016",
address = "United States",
note = "54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016 ; Conference date: 27-09-2016 Through 30-09-2016",
}