Separation of variables, Lax-integrable systems and gl(2)⊗gl(2)-valued classical r-matrices
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.103733
Abstract: Abstract In the present paper we consider a problem of separation of variables for Lax-integrable hamiltonian system generated by general non-skew-symmetric g l ( 2 ) ⊗ g l ( 2 ) -valued classical r… read more here.
Keywords: valued classical; integrable systems; separation variables; variables lax ... See more keywords
Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane
Sign Up to like & getrecommendations! Published in 2019 at "Regular and Chaotic Dynamics"
DOI: 10.1134/s1560354719020035
Abstract: We discuss a non-Hamiltonian vector field appearing in considering the partial motion of a Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In two partial cases this vector field is… read more here.
Keywords: plane; separation variables; ball; chaplygin ball ... See more keywords