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.DS2026
Seasonal Forcing in Rock-Paper-Scissors Population Dynamics
Idan Sorin, Michael Zaks, Alexander Nepomnyashchy
We study a class of cyclic dominance models with seasonal forcing, extending the classical May-Leonard competition framework. By introducing time-periodic coefficients into the gro…
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…