36 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institut de Recherche Mathématique AvancéeFR9 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Institute of Rural Management AnandIN4 papers
- Lund UniversitySE3 papers
- Observatoire astronomique de StrasbourgFR3 papers
- Université de StrasbourgFR3 papers
- Centre de Recherche en InformatiqueFR2 papers
- Gakushuin UniversityJP2 papers
- Tsinghua UniversityCN2 papers
- American Museum of Natural HistoryUS1 paper
- ARC Centre of Excellence for All-sky AstrophysicsAU1 paper
- Archéologie et Histoire Ancienne : Méditerranée – EuropeFR1 paper
5 papers · 1 filter
Algebraic non-integrability of magnetic billiards
Michael, Bialy, Andrey E. Mironov
We consider billiard ball motion in a convex domain of the Euclidean plane bounded by a piece-wise smooth curve influenced by the constant magnetic field. We show that if there exi…
Algebraic Birkhoff conjecture for billiards on Sphere and Hyperbolic plane
Michael, Bialy, Andrey E. Mironov
We consider a convex curve lying on the Sphere or Hyperbolic plane. We study the problem of existence of polynomial in velocities integrals for Birkhoff billiard inside the dom…
Integrable geodesic flows on 2-torus: formal solutions and variational principle
Michael, Bialy, Andrey E. Mironov
In this paper we study quasi-linear system of partial differential equations which describes the existence of the polynomial in momenta first integral of the integrable geodesic fl…
A remark on the number of invisible directions for a smooth Riemannian metric
Michael, Bialy
In this note we give a construction of a smooth Riemannian metric on R^n which is standard Euclidean outside a compact set K and such that it has N = n(n + 1)=2 invisible direction…
Cubic and Quartic integrals for geodesic flow on 2-torus via system of Hydrodynamic type
Michael, Bialy, Andrey Mironov
In this paper we deal with the classical question of existence of polynomial in momenta integrals for geodesic flows on the 2-torus. For the quasi-linear system on coefficients of…