3 papers
math.DS2024
Bifurcations and invariant sets for a family of replicator maps from evolutionary games
Sergey Kryzhevich, Yiwei Zhang, Magdalena Chmara
We study the dynamics of a family of replicator maps, depending on two parameters. Such studies are motivated by the analysis of the dynamics of evolutionary games under selections…
math.DS2023
Bounded and exponentially decaying solutions of almost linear dynamic systems on time scales
Svetlin Georgiev, Sergey Kryzhevich
We consider small nonlinear perturbations of linear systems on a time scale with the phase space being finite or infinite-dimensional. For -differential operators, corresponding…
math.DS2022
Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales
Svetlin G. Georgiev, Sergey Kryzhevich
In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index one on arbitrary time scales. We propose a procedure for the de…