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Emergence of collapsed snaking related dark and bright Kerr dissipative solitons with quartic-quadratic dispersion
Edem Kossi Akakpo, Marc Haelterman, Francois Leo +1
We theoretically investigate the dynamics, bifurcation structure and stability of dark localized states emerging in Kerr cavities in the presence of second- and fourth-order disper…
Self-pulsing and chaos in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer: A bifurcation analysis
Jesús Yelo Sarrión, François Leo, Simon-Pierre Gorza +1
We perform a systematic study of the temporal dynamics emerging in the asymmetrically driven dissipative Bose-Hubbard dimer model. This model successfully describes the nonlinear d…
Localized structures in dispersive and doubly resonant optical parametric oscillators
P. Parra-Rivas, L. Gelens, F. Leo
We study temporally localized structures in doubly resonant degenerate optical parametric oscillators in the absence of temporal walk-off. We focus on states formed through the loc…
Localized structures formed through domain wall locking in cavity-enhanced second-harmonic generation
C. Mas Arabí, P. Parra-Rivas, T. Hansson +3
We analyze the formation of localized structures in cavity-enhanced second-harmonic generation. We focus on the phase-matched limit, and consider that fundamental and generated wav…
Parametric localized patterns and breathers in dispersive quadratic cavities
P. Parra-Rivas, C. Mas-Arabí, F. Leo
We study the formation of localized patterns arising in doubly resonant dispersive optical parametric oscillators. They form through the locking of fronts connecting a continuous-w…