Synchronization of coupled active rotators by common noise.
| Autor: | Dolmatova AV; Institute of Continuous Media Mechanics, UB RAS, Academician Korolev Street 1, 614013 Perm, Russia., Goldobin DS; Institute of Continuous Media Mechanics, UB RAS, Academician Korolev Street 1, 614013 Perm, Russia.; Department of Theoretical Physics, Perm State University, Bukirev Street 15, Perm 614990, Russia., Pikovsky A; Institute for Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Strasse 24/25, 14476 Potsdam-Golm, Germany.; Research Institute for Supercomputing, Nizhny Novgorod State University, Gagarin Avenue 23, 606950 Nizhny Novgorod, Russia. |
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| Jazyk: | angličtina |
| Zdroj: | Physical review. E [Phys Rev E] 2017 Dec; Vol. 96 (6-1), pp. 062204. Date of Electronic Publication: 2017 Dec 11. |
| DOI: | 10.1103/PhysRevE.96.062204 |
| Abstrakt: | We study the effect of common noise on coupled active rotators. While such a noise always facilitates synchrony, coupling may be attractive (synchronizing) or repulsive (desynchronizing). We develop an analytical approach based on a transformation to approximate angle-action variables and averaging over fast rotations. For identical rotators, we describe a transition from full to partial synchrony at a critical value of repulsive coupling. For nonidentical rotators, the most nontrivial effect occurs at moderate repulsive coupling, where a juxtaposition of phase locking with frequency repulsion (anti-entrainment) is observed. We show that the frequency repulsion obeys a nontrivial power law. |
| Databáze: | MEDLINE |
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