Chaplygin's Ball Rolling Problem Is Hamiltonian

By Alexey V. Borisov, Ivan S. Mamaev. 2001

79 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/553446fdcae6d82d39ae5e65ba037451990f49d2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Alexey V. Borisov
2. Ivan S. Mamaev

In Geometry and Topology

1. Alexey V. Borisov
2. Ivan S. Mamaev

In Statistical and Nonlinear Physics

1. Ivan S. Mamaev
2. Alexey V. Borisov

Citations in the corpus

• Isomorphism and Hamilton representation of some nonholonomic systems (2007, background): “Unfortunately, the authors of the remarkable survey [18] could not verify explicitly our result, perhaps, in view of some publisher’s misprints in [ 20 ].”
• Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds (2011, unknown): “In [15] (see also [1, 14]) a Poisson structure with annihilators (Casimir function) F0, F2 was found which in the variables”
• The problem of drift and recurrence for the rolling Chaplygin ball (2013, background): “Some advance in the study of the dynamics of the Chaplygin ball can be found in [10], where the reduced equations of motion of the ball (obtained by “ignoring” the dynamics of the contact point and the precession angle, which corresponds to the area integral) were represented in Hamiltonian form aft”