33 citations
- Udmurt State UniversityRU6 papers
- Moscow Institute of Physics and TechnologyRU2 papers
- Russian Academy of SciencesRU2 papers
- Institute of Machines ScienceRU1 paper
- Lomonosov Moscow State UniversityRU1 paper
- National Research University Higher School of EconomicsRU1 paper
- N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of SciencesRU1 paper
- Orel State University named after I.S. TurgenevRU1 paper
- Steklov Mathematical InstituteRU1 paper
- Udmurt Federal Research Center, Ural Branch of the Russian Academy of SciencesRU1 paper
- Universidad Nacional Autónoma de MéxicoMX1 paper
- University of ManchesterGB1 paper
Showing 2018Show all
2 papers · 1 filter
nlin.CD2018★ 10 cited
Dynamics of the Chaplygin ball on a rotating plane
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
This paper addresses the problem of the Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In this case, the equations of motion admit area…
nlin.CD2018★ 33 cited
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration
Ivan Bizyaev, Alexey Borisov, Ivan Mamaev
This paper is concerned with the Chaplygin sleigh with timevarying mass distribution (parametric excitation). The focus is on the case where excitation is induced by a material poi…