# Explosive oscillation death in coupled Stuart-Landau oscillators

## TL;DR

This paper demonstrates explosive oscillation death in coupled Stuart-Landau oscillators involving both phase and amplitude dynamics, revealing three distinct scenarios and providing theoretical analysis of transition points.

## Contribution

It introduces the phenomenon of explosive oscillation quenching in Stuart-Landau oscillators, expanding understanding beyond phase-only models like Kuramoto.

## Key findings

- Identifies three types of explosive oscillation death scenarios.
- Theoretical analysis predicts the backward transition point.
- Numerical results confirm the theoretical predictions.

## Abstract

Recently, the explosive phase transitions, such as explosive percolation and explosive synchronization, have attracted extensive research interest. So far, most existing works investigate Kuramoto-type models, where only phase variables are involved. Here, we report the occurrence of explosive oscillation quenching in a system of coupled Stuart-Landau oscillators that incorporates both phase and amplitude dynamics. We observe three typical scenarios with distinct microscopic mechanism of occurrence, i.e., ordinary, hierarchical, and cluster explosive oscillation death, corresponding to different frequency distributions of oscillators, respectively. We carry out theoretical analyses and obtain the backward transition point, which is shown to be independent of the specific frequency distributions. Numerical results are consistent with the theoretical prediction.