TY  - JOUR
A1  - Tyulkina, Irina V.
A1  - Goldobin, Denis S.
A1  - Klimenko, Lyudmila S.
A1  - Pikovskij, Arkadij
T1  - Two-Bunch Solutions for the Dynamics of Ott–Antonsen Phase Ensembles
T2  - Radiophysics and Quantum Electronics
N2  - We have developed a method for deriving systems of closed equations for the dynamics of order parameters in the ensembles of phase oscillators. The Ott-Antonsen equation for the complex order parameter is a particular case of such equations. The simplest nontrivial extension of the Ott-Antonsen equation corresponds to two-bunch states of the ensemble. Based on the equations obtained, we study the dynamics of multi-bunch chimera states in coupled Kuramoto-Sakaguchi ensembles. We show an increase in the dimensionality of the system dynamics for two-bunch chimeras in the case of identical phase elements and a transition to one-bunch "Abrams chimeras" for imperfect identity (in the latter case, the one-bunch chimeras become attractive).
Y1  - 2019
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/50725
SN  - 0033-8443
SN  - 1573-9120
VL  - 61
IS  - 8-9
SP  - 640
EP  - 649
PB  - Springer
CY  - New York
ER  -