Hamilton–Jacobi equations for nonholonomic dynamics

DOI10.1063/1.1858441zbMath1067.70018arXivmath-ph/0406008OpenAlexW2261887550MaRDI QIDQ3024250

Michele Pavon

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0406008

zbMATH Keywords

minimal action

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (4)

Historical and critical review of the development of nonholonomic mechanics: the classical period ⋮ A historical review on nonholomic mechanics ⋮ The Hamilton-Jacobi equation, integrability, and nonholonomic systems ⋮ Nonholonomic versus vakonomic dynamics on a Riemann–Cartan manifold

Cites Work

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• On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints
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• Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions
• Hamilton’s principle in stochastic mechanics
• On the geometry of non-holonomic Lagrangian systems
• Solving optimal control problems by means of general Lagrange functionals

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