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
Nonholonomic Noetherian Symmetries and Integrals of the Routh Sphere and the Chaplygin Ball
Sign Up to like & getrecommendations! Published in 2019 at "Regular and Chaotic Dynamics"
DOI: 10.1134/s1560354719050058
Abstract: The dynamics of a spherical body with a non-uniform mass distribution rolling on a plane were discussed by Sergey Chaplygin, whose 150th anniversary we celebrate this year. The Chaplygin top is a non-integrable system, with… read more here.
Keywords: symmetries integrals; integrals routh; nonholonomic noetherian; chaplygin ball ... See more keywords