RETURN TIME STATISTICS OF EXTREME EVENTS IN DISCRETE NONLINEAR LATTICES

Ana Mančić, Aleksandra Maluckov

DOI Number
10.2298/FUPCT1701035M
First page
035
Last page
044

Abstract


Time statistics of extreme events (EEs) in one-dimensional discrete Salerno lattices is investigated numerically. We show that the dependence of the mean return time of EEs on the amplitude threshold can be used as a criterion to differentiate between various dynamical regimes of the extreme events. Also, we found that dispersion of points on the time probability distribution curve can be an indicator of the appearance of EEs in the system, but it has to be complemented with other statistical measures. The results obtained here can be used to distinguish between different dynamical regimes and as identifiers of the EEs existence in the lattice system.

Keywords

extreme events, nonlinear photonic lattice, time statistics

Full Text:

PDF

References


Ablowitz, M.J., Ladik, J.F., 1976, J. Math. Phys. 17, 1011-1018. doi:10.1063/1.523009

Akhmediev, N., Ankiewicz, A., Taki, M., 2009, Phys. Lett. A 373, 675. doi:10.1016/j.physleta.2008.12.036

Akhmediev, N., Ankiewicz, A., 2011, Phys. Rev. E 83, 046603. doi:10.1103/PhysRevE.83.046603

Bludov, Yu.V., Konotop, V.V., Akhmediev, N., 2009, Phys. Rev. A 80, 033610. doi:10.1103/PhysRevA.80.033610

Flach, S., Willis, C.R., 1998, Phys. Rep. 295, 181. doi:10.1016/S0370-1573(97)00068-9

Höhmann, R., Kuhl, U., Stökmann, H.-J., Kaplan, L., Heller, E.J., 2010, Phys. Rev. Lett. 104 (9), 093901. doi:10.1103/PhysRevLett.104.093901

Kharif, C., Pelinovsky, E., 2003, Eur. J. Mech. B/Fluids. 22, 603-634 (2003). doi:10.1016/j.euromechflu.2003.09.002

Maluckov, A., Hadžievski, Lj., Lazarides, N., Tsironis, G.P., 2009, Phys. Rev. E 79, 025601(R). doi:10.1103/PhysRevE.79.025601

Maluckov, A., Lazarides, N., Tsironis, G.P., Hadžievski, Lj., 2013, Physica D 252, 59. doi:10.1016/j.physd.2013.03.001

Mančić, A., Maluckov, A., Hadžievski, Lj., 2017, Phys. Rev. E, 95, 032212. doi: 10.1103/PhysRevE.95.032212

Molina, M., Tsironis, G.P., 1993, Physica D 65, 267-273. doi:10.1016/0167-2789(93)90162-T

Onorato, M., Osborne, A.R., Serio, M., Bertone, S., 2001, Phys. Rev. Lett. 86, 5831. doi:10.1103/PhysRevLett.86.5831

Onorato, M., Osborne, A.R., Serio, M., 2006, Phys. Rev. Lett. 96, 014503. doi:10.1103/PhysRevLett.96.014503

Salerno, M., 1992, Phys. Rev. A 46, 6856. doi:10.1103/PhysRevA.46.6856

Solli, D.R., Ropers, C., Koonath, P., Jalali, B., 2007, Nature 450, 1054. doi:10.1038/nature06402


Refbacks

  • There are currently no refbacks.


ISSN 0354-4656 (print)

ISSN 2406-0879 (online)