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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… Click to show full 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 expressed via Hamiltonian vector fields using a nonalgebraic deformation of the canonical Poisson bivector on e*(3). For the symmetric ball we also calculate variables of separation, compatible Poisson brackets, the algebra of Haantjes operators and 2 × 2 Lax matrices.
Keywords:
plane;
separation variables;
ball;
chaplygin ball;
hamiltonization separation
Journal Title: Regular and Chaotic Dynamics
Year Published: 2019
Link to full text (if available)
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Journal Title: Regular and Chaotic Dynamics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!