3 citations · 7 across the 7 of their papers we have counts for
7 papers
On Newton equations which are totally integrable at infinity
Michael, Bialy
In this paper Hamiltonian system of time dependent periodic Newton equations is studied. It is shown that for dimensions and higher the following rigidity results holds true: I…
Effective bounds in E.Hopf rigidity for billiards and geodesic flows
Michael, Bialy
In this paper we show that in some cases the E.Hopf rigidity phenomenon admits quantitative interpretation. More precisely we estimate from above the measure of the set $\mathcal{M…
On Totally integrable magnetic billiards on constant curvature surface
Michael, Bialy
We consider billiard ball motion in a convex domain of a constant curvature surface influenced by the constant magnetic field. We prove that if the billiard map is totally integrab…
Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane
Michael, Bialy
This paper deals with Hopf type rigidity for convex billiards on surfaces of constant curvature. We prove that the only convex billiard without conjugate points on the Hyperbolic p…
Smooth solutions for a -system of mixed type
Michael, Bialy
In this note we analyze smooth solutions of a -system of the \textit{mixed} type. Motivating example for this is a 2-components reduction of the Benney moments chain which appea…
Richness or Semi-Hamiltonicity of quasi-linear systems which are not in evolution form
Michael, Bialy
The aim of this paper is to consider quasi-linear systems which are not in the form of evolution equations. We propose new condition of Richness or Semi-Hamiltonicity for such a sy…