| Abstract: |
| We investigate the bifurcation structure and stability of localized temporal patterns in bichromatically driven pure Kerr optical cavities. In contrast to the common case, where localized states are supported by a uniform background state, here localization occurs within a modulated background. By performing bifurcation analysis, we unveil the origin of such states and find that they undergo a slanted snake-and-ladder structure. These states endure oscillatory instabilities which lead to breathers: oscillatory localized patterns. In the presence of desynchronization between the envelope formed from the superposition of the driving fields and an integer fraction of the cavity round trip time, these states are asymmetric, stable, and drift at a constant speed. As a result, the slanted snaking breaks, leading to the formation of isolas. We find that, eventually, by increasing that parameter, these localized patterns disappear. |
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