151 citations · 638 across the 24 of their papers we have counts for
6 papers · 1 filter
Synchronization transitions and sensitivity to asymmetry in the bimodal Kuramoto systems with Cauchy noise
V. A. Kostin, V. O. Munyaev, G. V. Osipov +1
We analyze the synchronization dynamics of the thermodynamically large systems of globally coupled phase oscillators under Cauchy noise forcings with bimodal distribution of freque…
Traveling chimeras in oscillator lattices with advective-diffusive coupling
L. Smirnov, A. Pikovsky
We consider a one-dimensional array of phase oscillators coupled via an auxiliary complex field. While in the seminal chimera studies by Kumamoto and Battogtokh only diffusion of t…
Stability of rotatory solitary states in Kuramoto networks with inertia
V. O. Munyaev, M. I. Bolotov, L. A. Smirnov +2
Solitary states emerge in oscillator networks when one oscillator separates from the fully synchronized cluster and becomes incoherent with the rest of the network. Such chimera-ty…
Finite-density-induced motility and turbulence of chimera solitons
L. A. Smirnov, M. I. Bolotov, D. I. Bolotov +2
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-Batto…
Disorder fosters chimera in an array of motile particles
L. A. Smirnov, M. I. Bolotov, G. V. Osipov +1
We consider an array of non-locally coupled oscillators on a ring, which for equally spaced units possesses a Kuramoto-Battogtokh chimera regime and a synchronous state. We demonst…
Chimera patterns in the Kuramoto-Battogtokh model
L. A. Smirnov, G. V. Osipov, A. Pikovsky
Kuramoto and Battogtokh [Nonlinear Phenom. Complex Syst. 5, 380 (2002)] discovered chimera states represented by stable coexisting synchrony and asynchrony domains in a lattice of…