4 papers
Shift maps and statistical invariants for some dynamical systems
Sergey Kryzhevich, Yiwei Zhang
Given a dynamical system, we study the so-called space of shift functions thus introducing another vision on bifurcations and chaos. As an application of the obtained results, we g…
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…
Mercer Large-Scale Kernel Machines from Ridge Function Perspective
Karol Dziedziul, Sergey Kryzhevich, Paweł Wieczyński
To present Mercer large-scale kernel machines from a ridge function perspective, we recall the results by Lin and Pinkus from {\it Fundamentality of ridge functions}. We consider t…
Bistability in a one-dimensional model of a two-predators-one-prey population dynamics system
Sergey Kryzhevich, Viktor Avrutin, Gunnar Söderbacka
In this paper, we study the classical two-predators-one-prey model. The classical model described by a system of 3 ordinary differential equations can be reduced to a one-dimension…