426 citations · 3.8k across the 126 of their papers we have counts for
14 papers · 1 filter
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…
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…
Chimeras on a social-type network
Arkady Pikovsky
We consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which f…
Waves in Strongly Nonlinear Gardner-like Equations on a Lattice
Philip Rosenau, Arkady Pikovsky
We introduce and study a family of lattice equations which may be viewed either as a strongly nonlinear discrete extension of the Gardner equation, or a non-convex variant of the L…
Solitary phase waves in a chain of autonomous oscillators
Philip Rosenau, Arkady Pikovsky
In the present paper we study phase waves of self-sustained oscillators with a nearest neighbor dispersive coupling on an infinite lattice. To analyze the underlying dynamics we ap…