426 citations · 3.8k across the 126 of their papers we have counts for
129 papers
Discontinuous transition to synchrony in the Kuramoto-Sakaguchi model with a uniform distribution of frequencies
Arkady Pikovsky
The transition to synchrony in the Kuramoto model of globally coupled phase oscillators with a uniform distribution of natural frequencies is discontinuous. We extend the theory of…
Coherence properties of collective modes in ensembles of oscillators
A. Pikovsky, F. Bagnoli, S. Iubini
Synchronization transition in oscillatory networks manifests itself as the appearance of a periodic global mode. While perfect in the thermodynamic limit, this mode fluctuates for…
Convective Space-Time Chaos as a Dynamical Model of Deterministic and Stochastic Turbulence
Arkady Pikovsky
Recently, a concept of deterministic and stochastic turbulence has been introduced based on experiments with a boundary layer. In these experiments, the flow was driven with contro…
Multiscale Energy Spreading in Hard-Particle Chains
Arkady Pikovsky
We consider a one-dimensional array of particles interacting via an infinite well potential. We explore the properties of energy spreading from an initial state where only a group…
Efficient stochastic simulation of piecewise-deterministic Markov processes and its application to the Morris-Lecar model of neural dynamics
Arkady Pikovsky
Piecewise-deterministic Markov processes combine continuous in time dynamics with jump events, the rates of which generally depend on the continuous variables and thus are not cons…
Synchronization of branching chain of coupled maps: application to the logistic map
Franco Bagnoli, Michele Baia, Tommaso Matteuzzi +1
We investigate the synchronization dynamics in a chain of coupled chaotic maps organized in a single-parent family tree, whose properties can be captured considering each parent no…