English

Desynchronization of temporal solitons in Kerr cavities with pulsed injection

Optics 2024-04-23 v1 Pattern Formation and Solitons

Abstract

A numerical and analytical study was conducted to investigate the bifurcation mechanisms that cause desynchronization between the soliton repetition frequency and the frequency of external pulsed injection in a Kerr cavity described by the Lugiato-Lefever equation. The results suggest that desynchronization typically occurs through an Andronov-Hopf bifurcation. Additionally, a simple and intuitive criterion for this bifurcation to occur is proposed.

Keywords

Cite

@article{arxiv.2404.14113,
  title  = {Desynchronization of temporal solitons in Kerr cavities with pulsed injection},
  author = {D. A. Dolinina and G. Huyet and D. Turaev and A. G. Vladimirov},
  journal= {arXiv preprint arXiv:2404.14113},
  year   = {2024}
}