109 citations · 227 across the 17 of their papers we have counts for
17 papers
Characteristics of anomalous deterministic transport in steady plane viscous flows
Michael A. Zaks, Alexander Nepomnyashchy
We consider transport of passive particles in steady laminar plane flows of incompressible viscous fluids. While drifting along the streamlines, the particles experience alternatin…
Continua and persistence of periodic orbits in ensembles of oscillators
Robert Ronge, Michael A. Zaks, Tiago Pereira
Certain systems of coupled identical oscillators like the Kuramoto-Sakaguchi or the active rotator model possess the remarkable property of being Watanabe-Strogatz integrable. We p…
Basin sizes depend on stable eigenvalues in the Kuramoto model
Antonio Mihara, Michael Zaks, Elbert E. N. Macau +1
We show that for the Kuramoto model (with identical phase oscillators equally coupled) its global statistics and size of the basins of attraction can be estimated through the eigen…
Dynamics in a phase model of half-center oscillator: two neurons with excitatory coupling
A. G. Korotkov, T. A. Levanova, M. A. Zaks +1
A minimalistic model of the half-center oscillator is proposed. Within it, we consider dynamics of two excitable neurons interacting by means of the excitatory coupling. In the par…
Synchrony breakdown and noise-induced oscillation death in ensembles of serially connected spin-torque oscillators
Michael A. Zaks, Arkady Pikovsky
We consider collective dynamics in the ensemble of serially connected spin-torque oscillators governed by the Landau-Lifshitz-Gilbert-Slonczewski magnetization equation. Proximity…
Mind-to-mind heteroclinic coordination: model of sequential episodic memory initiation
Valentin S. Afraimovich, Michael A. Zaks, Mikhail I. Rabinovich
Retrieval of episodic memory is a dynamical process in the large scale brain networks. In social groups, the neural patterns, associated to specific events directly experienced by…