3 papers
math.DS2026
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…
math-ph2026
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…
physics.flu-dyn2025
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…