On Integrable Perturbations of Some Nonholonomic Systems

Abstract

Integrable perturbations of the nonholonomic Suslov, Veselova, Chaplygin and Heisenberg problems are discussed in the framework of the classical Bertrand-Darboux method. We study the relations between the Bertrand-Darboux type equations, well studied in the holonomic case, with their nonholonomic counterparts and apply the results to the construction of nonholonomic integrable potentials from the known potentials in the holonomic case.

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Cited by in corpus (3)

• Hamiltonization and separation of variables for Chaplygin ball on a rotating plane
• Hamiltonization of Elementary Nonholonomic Systems
• Integrability of Nonholonomic Heisenberg Type Systems