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Dark quadratic localized states and collapsed snaking in doubly resonant dispersive cavity enhanced second harmonic generation
preprintposted on 2023-01-12, 13:43 authored by P. Parra-Rivas, C. Mas Arabí, F. Leo
We theoretically investigate the dynamics, bifurcation structure and stability of quadratic dark localized dissipative states arising in cavity enhanced second-harmonic generation. These states, formed through the locking of plane front waves, undergo collapsed homoclinic snaking and may exhibit oscillatory dynamics.