Dissipative Kerr solitons, breathers and chimera states in coherently driven passive cavities with parabolic potential

We analyze the stability and dynamics of dissipative Kerr solitons in the presence of a parabolic potential. This potential stabilizes oscillatory and chaotic regimes, favoring the generation of static DKSs. Furthermore, the potential induces the emergence of new dissipative structures, such as asym...

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Bibliographic Details
Published in:arXiv.org 2022-12
Main Authors: Sun, Yifan, Parra-Rivas, Pedro, Ferraro, Mario, Mangini, Fabio, Zitelli, Mario, Jauberteau, Raphael, Francesco Rinaldo Talenti, Wabnitz, Stefan
Format: Article
Language:English
Subjects:
Breathers
Dissipation
Dynamic stability
Solitary waves
Stability analysis
Online Access:Get full text
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Summary:We analyze the stability and dynamics of dissipative Kerr solitons in the presence of a parabolic potential. This potential stabilizes oscillatory and chaotic regimes, favoring the generation of static DKSs. Furthermore, the potential induces the emergence of new dissipative structures, such as asymmetric breathers and chimera-like states. Based on a mode decomposition of these states, we unveil the underlying modal interactions.
ISSN:2331-8422
DOI:10.48550/arxiv.2208.12669