TY  - JOUR
A1  - Smirnov, Lev A.
A1  - Bolotov, Maxim
A1  - Bolotov, Dmitri
A1  - Osipov, Grigory V.
A1  - Pikovsky, Arkady
T1  - Finite-density-induced motility and turbulence of chimera solitons
JF  - New Journal of Physics
N2  - We consider a one-dimensional oscillatory medium with a coupling through a diffusive linear field. In the limit of fast diffusion this setup reduces to the classical Kuramoto–Battogtokh model. We demonstrate that for a finite diffusion stable chimera solitons, namely localized synchronous domain in an infinite asynchronous environment, are possible. The solitons are stable also for finite density of oscillators, but in this case they sway with a nearly constant speed. This finite-density-induced motility disappears in the continuum limit, as the velocity of the solitons is inverse proportional to the density. A long-wave instability of the homogeneous asynchronous state causes soliton turbulence, which appears as a sequence of soliton mergings and creations. As the instability of the asynchronous state becomes stronger, this turbulence develops into a spatio-temporal intermittency.
KW  - chimera
KW  - soliton
KW  - finite-size effects
Y1  - 2022
U6  - https://doi.org/10.1088/1367-2630/ac63d9
SN  - 1367-2630
VL  - 24
PB  - IOP
CY  - London
ER  - 
TY  - GEN
A1  - Smirnov, Lev A.
A1  - Bolotov, Maxim
A1  - Bolotov, Dmitri
A1  - Osipov, Grigory V.
A1  - Pikovsky, Arkady
T1  - Finite-density-induced motility and turbulence of chimera solitons
T2  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe
N2  - We consider a one-dimensional oscillatory medium with a coupling through a diffusive linear field. In the limit of fast diffusion this setup reduces to the classical Kuramoto–Battogtokh model. We demonstrate that for a finite diffusion stable chimera solitons, namely localized synchronous domain in an infinite asynchronous environment, are possible. The solitons are stable also for finite density of oscillators, but in this case they sway with a nearly constant speed. This finite-density-induced motility disappears in the continuum limit, as the velocity of the solitons is inverse proportional to the density. A long-wave instability of the homogeneous asynchronous state causes soliton turbulence, which appears as a sequence of soliton mergings and creations. As the instability of the asynchronous state becomes stronger, this turbulence develops into a spatio-temporal intermittency.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1291 
KW  - chimera
KW  - soliton
KW  - finite-size effects
Y1  - 2023
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-574281
SN  - 1866-8372
IS  - 1291
ER  - 
TY  - GEN
A1  - Bolotov, Maxim
A1  - Smirnov, Lev A.
A1  - Osipov, Grigory V.
A1  - Pikovskij, Arkadij
T1  - Complex chimera states in a nonlinearly coupled oscillatory medium
T2  - 2018 2nd School on Dynamics of Complex Networks and their Application in Intellectual Robotics (DCNAIR)
N2  - We consider chimera states in a one-dimensional medium of nonlinear nonlocally coupled phase oscillators. Stationary inhomogeneous solutions of the Ott-Antonsen equation for a complex order parameter that correspond to fundamental chimeras have been constructed. Stability calculations reveal that only some of these states are stable. The direct numerical simulation has shown that these structures under certain conditions are transformed to breathing chimera regimes because of the development of instability. Further development of instability leads to turbulent chimeras.
KW  - phase oscillator
KW  - nonlocal coupling
KW  - synchronization
KW  - chimera state
KW  - partial synchronization
KW  - phase lag
KW  - nonlinear dynamics
Y1  - 2018
SN  - 978-1-5386-5818-5
U6  - https://doi.org/10.1109/DCNAIR.2018.8589210
SP  - 17
EP  - 20
PB  - IEEE
CY  - New York
ER  -