60 citations · 91 across the 3 of their papers we have counts for
3 papers
nlin.AO2020★ 31 cited
Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators
I. A. Shepelev, A. V. Bukh, S. S. Muni +1
The behavior of the ensemble of coupled van der Pol oscillators is abundant when coupling parameters are changed. Incoherent and chimera-like regimes are observed at small values o…
math.DS2017
Local sensitivity of spatiotemporal structures
I. A. Shepelev, A. V. Bukh, S. Ruschel +2
We present an index for the local sensitivity of spatiotemporal structures in coupled oscillatory systems based on the asymptotic scaling of local-in-space, finite-time Lyapunov Ex…
nlin.AO2017★ 60 cited
New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps
Andrei Bukh, Elena Rybalova, Nadezhda Semenova +2
We study numerically the dynamics of a network made of two coupled one-dimensional ensembles of discrete-time systems. The first ensemble is represented by a ring of nonlocally cou…