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Liu Z, Ouali M, Coulibaly S, et al. Characterization of spatiotemporal chaos in a Kerr optical frequency comb and in all fiber cavities. Opt Lett. 2017;42(6):1063-1066doi: 10.1364/OL.42.001063.
Liu, Z., Ouali, M., Coulibaly, S., Clerc, M. G., Taki, M., & Tlidi, M. (2017). Characterization of spatiotemporal chaos in a Kerr optical frequency comb and in all fiber cavities. Optics letters, 42(6), 1063-1066. https://doi.org/10.1364/OL.42.001063
Liu, Z, et al. "Characterization of spatiotemporal chaos in a Kerr optical frequency comb and in all fiber cavities." Optics letters vol. 42,6 (2017): 1063-1066. doi: https://doi.org/10.1364/OL.42.001063
Liu Z, Ouali M, Coulibaly S, Clerc MG, Taki M, Tlidi M. Characterization of spatiotemporal chaos in a Kerr optical frequency comb and in all fiber cavities. Opt Lett. 2017 Mar 15;42(6):1063-1066. doi: 10.1364/OL.42.001063. PMID: 28295092.
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Opt Lett. 2017 Mar 15;42(6):1063-1066. doi: 10.1364/OL.42.001063.

Characterization of spatiotemporal chaos in a Kerr optical frequency comb and in all fiber cavities.

Optics letters

Z Liu, M Ouali, S Coulibaly, M G Clerc, M Taki, M Tlidi

PMID: 28295092 DOI: 10.1364/OL.42.001063

Abstract

Complex spatiotemporal dynamics have been a subject of recent experimental investigations in optical frequency comb microresonators and in driven fiber cavities with Kerr-type media. We show that this complex behavior has a spatiotemporal chaotic nature. We determine numerically the Lyapunov spectra, allowing us to characterize different dynamical behavior occurring in these simple devices. The Yorke-Kaplan dimension is used as an order parameter to characterize the bifurcation diagram. We identify a wide regime of parameters where the system exhibits a coexistence between the spatiotemporal chaos, the oscillatory localized structure, and the homogeneous steady state. The destabilization of an oscillatory localized state through radiation of counter-propagating fronts between the homogeneous and the spatiotemporal chaotic states is analyzed. To characterize better the spatiotemporal chaos, we estimate the front speed as a function of the pump intensity.

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