Robust Weak Chimeras in Oscillator Networks with Delayed Linear and Quadratic Interactions
Adaptation and Self-Organizing Systems
2017-10-25 v2 Dynamical Systems
Pattern Formation and Solitons
Chemical Physics
Abstract
We present an approach to generate chimera dynamics (localized frequency synchrony) in oscillator networks with two populations of (at least) two elements using a general method based on delayed interactions with linear and quadratic terms. The coupling design yields robust chimeras through a phase-model-based design of the delay and the ratio of linear and quadratic components of the interactions. We demonstrate the method in the Brusselator model and experiments with electrochemical oscillators. The technique opens the way to directly bridge chimera dynamics in phase models and real-world oscillator networks.
Cite
@article{arxiv.1705.05812,
title = {Robust Weak Chimeras in Oscillator Networks with Delayed Linear and Quadratic Interactions},
author = {Christian Bick and Michael Sebek and István Z. Kiss},
journal= {arXiv preprint arXiv:1705.05812},
year = {2017}
}