9 citations · 9 across the 3 of their papers we have counts for
5 papers
Stabilization of stochastic dynamical systems of a random structure with Markov switches and Poisson perturbations
Taras Lukashiv, Yuliia Litvinchuk, Igor Malyk +2
An optimal control for a dynamical system optimizes a certain objective function. Here we consider the construction of an optimal control for a stochastic dynamical system with a r…
Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces
Anna Gołȩbiewska, Ernesto Pérez-Chavela, Sławomir Rybicki +1
We consider autonomous Newtonian systems with Coriolis forces in two and three dimensions and study the existence of branches of periodic orbits emanating from equilibria. We inves…
Bifurcations from degenerate orbits of solutions of nonlinear elliptic systems
Anna Gołębiewska, Joanna Kluczenko, Piotr Stefaniak
The aim of this paper is to study global bifurcations of non-constant solutions of some nonlinear elliptic systems, namely the system on a sphere and the Neumann problem on a ball.…
Connected sets of solutions of symmetric elliptic systems
Anna Gołębiewska, Sławomir Rybicki, Piotr Stefaniak
The purpose of this paper is twofold. First we study bifurcations of connected sets of critical orbits of some invariant functional from a given family of critical orbits. We use t…
Bifurcations from the orbit of solutions of the Neumann problem
Anna Gołębiewska, Joanna Kluczenko, Piotr Stefaniak
The purpose of this paper is to study weak solutions of a nonlinear Neumann problem considered on a ball. Assuming that the potential is invariant, we consider an orbit of critical…