25 citations · 68 across the 17 of their papers we have counts for
17 papers
Spectral Stability Correspondence between Networks and Continuous Media: Theory and Applications to Population Dynamics
Idan Sorin, Alexander Nepomnyashchy
We investigate the stability of synchronized oscillations in coupled nonlinear systems by establishing a spectral correspondence between continuous linear shift-invariant (LSI) med…
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…
Stability of oscillations in the spatially extended May-Leonard model
Idan Sorin, Alexander Nepomnyashchy, Vladimir Volpert
The May-Leonard model for three competing species, symmetric with respect to cyclic permutation of the variables and extended by diffusive terms, is considered. Exact time-periodic…
Physical phase field model for phagocytosis
Benjamin Winkler, Mohammad Abu Hamed, Alexander A. Nepomnyashchy +1
We propose and study a simple, physical model for phagocytosis, i.e. the active, actin-mediated uptake of micron-sized particles by biological cells. The cell is described by the p…
Chaos in Coupled Heteroclinic Cycles and its Piecewise-Constant Representation
Arkady Pikovsky, Alexander Nepomnyashchy
We consider two stable heteroclinic cycles rotating in opposite directions, coupled via diffusive terms. A complete synchronization in this system is impossible, and numerical expl…
Phase field model for phagocytosis dynamics
Mohammad Abu Hamed, Alexander A. Nepomnyashchy
The basic process of the innate immune system when phagocyte (white blood cell) engulf or swallow a target particle (bacterium or dead cell), is called phagocytosis. We apply the p…