TY  - JOUR
A1  - Bolotov, Dmitry
A1  - Bolotov, Maxim I.
A1  - Smirnov, Lev A.
A1  - Osipov, Grigory V.
A1  - Pikovskij, Arkadij
T1  - Twisted States in a System of Nonlinearly Coupled Phase Oscillators
JF  - Regular and chaotic dynamics : international scientific journal
N2  - We study the dynamics of the ring of identical phase oscillators with nonlinear nonlocal coupling. Using the Ott - Antonsen approach, the problem is formulated as a system of partial derivative equations for the local complex order parameter. In this framework, we investigate the existence and stability of twisted states. Both fully coherent and partially coherent stable twisted states were found (the latter ones for the first time for identical oscillators). We show that twisted states can be stable starting from a certain critical value of the medium length, or on a length segment. The analytical results are confirmed with direct numerical simulations in finite ensembles.
KW  - twisted state
KW  - phase oscillators
KW  - nonlocal coupling
KW  - Ott - Antonsen reduction
KW  - stability analysis
Y1  - 2019
U6  - https://doi.org/10.1134/S1560354719060091
SN  - 1560-3547
SN  - 1468-4845
VL  - 24
IS  - 6
SP  - 717
EP  - 724
PB  - Pleiades publishing inc
CY  - Moscow
ER  -