Journal of Physics A Mathematical and Theoretical · 2007 · 58 citations · 10 references
Natural SciencesMathematicsMechanical EngineeringDifferential EquationsDynamical SystemsClassical MechanicsDifferential SystemsHamiltonian DynamicsHamiltonian MechanicsHamiltonian SystemsMultibody DynamicsHamilton-jacobi EquationsHamilton-jacobi TheoryHamilton-jacobi-bellman EquationsHamiltonian FormulationHamiltonian Partial Differential EquationsNonholonomic DynamicsNonholonomic Hamiltonian SystemsNonholonomic Systems
Abstract. In this paper we obtain a Hamilton-Jacobi theory for nonholonomic mechanical systems. The results are applied to a large class of nonholonomic mechanical systems, the so-called Čaplygin systems. 1.
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Nonholonomic Mechanics and Control
AM Bloch, Bernard Brogliato · Applied Mechanics Reviews · 2004 · 1.1K citations · Full text
GEOMETRIC HAMILTON–JACOBI THEORY
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