# Inhibition induced explosive synchronization in multiplex networks

## TL;DR

This paper demonstrates that explosive synchronization (ES) can be generically induced in multiplex networks through inhibitory coupling, expanding understanding of synchronization phenomena and control in complex systems.

## Contribution

It introduces a multiplexing approach to induce ES with hysteresis in networks by combining excitatory and inhibitory layers, highlighting the role of structural properties.

## Key findings

- ES can be induced in any network via multiplexing with inhibitory layers.
- Structural properties influence the control of ES transition.
- Multiplexing offers a new way to generate and control synchronization phenomena.

## Abstract

To date, explosive synchronization (ES) is shown to be originated from either degree-frequency correlation or inertia of phase oscillators. Of late, it has been shown that ES can be induced in a network by adaptively controlled phase oscillators. Here we show that ES is a generic phenomenon and can occur in any network by appropriately multiplexing it with another layer. We devise an approach which leads to the occurrence of ES with hysteresis loop in a network upon its multiplexing with a negatively coupled (or inhibitory) layer. We discuss the impact of various structural properties of positively coupled (or excitatory) and inhibitory layer along with the strength of multiplexing in gaining control over the induced ES transition. This investigation is a step forward in highlighting the importance of multiplex framework not only in bringing novel phenomena which are not possible in an isolated network but also in providing more structural control over the induced phenomena.