# Characterization of spatiotemporal chaos in Kerr optical frequency {comb generators} and in fiber cavity

## TL;DR

This paper investigates the complex spatiotemporal chaos in Kerr optical frequency comb generators and fiber cavities, using numerical methods to analyze their dynamical behavior and bifurcations.

## Contribution

It introduces a numerical characterization of spatiotemporal chaos in Kerr microresonators and fiber cavities, including Lyapunov spectra and front dynamics analysis.

## Key findings

- Identification of regimes with coexistence of chaos, localized oscillations, and steady states.
- Analysis of front propagation during destabilization of localized states.
- Quantitative relationship between pump intensity and front speed.

## Abstract

Complex spatiotemporal dynamics have been a subject of recent experimental investigations in optical frequency comb microresonators and in driven fiber cavities with a Kerr-type media. We show that this complex behavior has a spatiotemporal chaotic nature. We determine numerically the Lyapunov spectra, allowing to characterize different dynamical behavior occurring in these simple devices. The Yorke-Kaplan dimension is used as an order parameter to characterize the bifurcation diagram. We identify a wide regime of parameters where the system exhibits a coexistence between the spatiotemporal chaos, the oscillatory localized structure, and the homogeneous steady state. The destabilization of an oscillatory localized state through radiation of counter propagative fronts between the homogeneous and the spatiotemporal chaotic states is analyzed. To characterize better the spatiotemporal chaos, we estimate the front speed as a function of the pump intensity.