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Phys Rev E. 2016 May;93(5):052218. doi: 10.1103/PhysRevE.93.052218. Epub 2016 May 23.

Separation of coexisting dynamical regimes in multistate intermittency based on wavelet spectrum energies in an erbium-doped fiber laser.

Physical review. E

Alexander E Hramov, Alexey A Koronovskii, Olga I Moskalenko, Maksim O Zhuravlev, Rider Jaimes-Reategui, Alexander N Pisarchik

Affiliations

  1. Saratov State University, Astrakhanskaya, 83, Saratov 410012, Russia and Saratov State Technical University, Politehnicheskaya, 77, Saratov 410054, Russia.
  2. Universidad de Guadalajara, Centro Universitario de los Lagos, Enrique Díaz de León 1144, Paseos de la Montaña, 47460, Lagos de Moreno, Jalisco, Mexico.
  3. Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo, 28223 Pozuelo de Alarcon, Madrid, Spain and Centro de Investigaciones en Optica, Loma del Bosque 115, Lomas del Campestre, 37150 Leon, Guanajuato, Mexico.

PMID: 27300891 DOI: 10.1103/PhysRevE.93.052218

Abstract

We propose a method for the detection and localization of different types of coexisting oscillatory regimes that alternate with each other leading to multistate intermittency. Our approach is based on consideration of wavelet spectrum energies. The proposed technique is tested in an erbium-doped fiber laser with four coexisting periodic orbits, where external noise induces intermittent switches between the coexisting states. Statistical characteristics of multistate intermittency, such as the mean duration of the phases for every oscillation type, are examined with the help of the developed method. We demonstrate strong advantages of the proposed technique over previously used amplitude methods.

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