# Robust Weak Chimeras in Oscillator Networks with Delayed Linear and Quadratic Interactions

## TL;DR

This paper introduces a method to generate robust chimera states in oscillator networks with delayed linear and quadratic interactions, demonstrated in chemical and electrochemical systems, bridging phase models and real-world networks.

## Contribution

A general approach using delayed interactions with linear and quadratic terms to produce robust chimeras in oscillator networks, applicable to real-world systems.

## Key findings

- Successfully generated robust chimeras in the Brusselator model.
- Validated the approach with electrochemical oscillator experiments.
- Bridges gap between phase models and real oscillator networks.

## 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.