# Taming Chimeras in Networks through Multiplexing Delays

## TL;DR

This paper introduces a method to generate and control chimera states in multiplex networks by using heterogeneous delays in inter-layer links, enabling precise regulation of incoherent regions.

## Contribution

It presents a novel technique to engineer chimera states in multiplex networks through multiplexing delays, allowing control over incoherence characteristics.

## Key findings

- Chimera states can be constructed using multiplexing delays.
- Incoherence can be regulated by coupling strengths and delay placement.
- The method offers structural control over chimera patterns.

## Abstract

Chimera referring to a coexistence of coherent and incoherent states, is traditionally very difficult to control due to its peculiar nature. Here, we provide a recipe to construct chimera states in the multiplex networks with the aid of multiplexing-delays. The chimera state in multiplex networks is produced by introducing heterogeneous delays in a fraction of inter-layer links, referred as multiplexing-delay, in a sequence. Additionally, the emergence of the incoherence in the chimera state can be regulated by making appropriate choice of both inter- and intra-layer coupling strengths, whereas the extent and the position of the incoherence regime can be regulated by appropriate placing and {strength} of the multiplexing delays. The proposed technique to construct such {engineered} chimera equips us with multiplex network's structural parameters as tools in gaining both qualitative- and quantitative-control over the incoherent section of the chimera states and, in turn, the chimera. Our investigation can be of worth in controlling dynamics of multi-level delayed systems and attain desired chimeric patterns.