scientific article; zbMATH DE number 1330830

zbMath0965.70030MaRDI QIDQ4261271

Giovanna Mendella, Fiorella Barone, Renato Grassini

Publication date: 25 July 2001

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1999__70_6_515_0

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zbMATH Keywords

configuration spaceimplicit differential equationsnonholonomic constraintsnonconservative forces1-formsconstrained mechanicscotangent spaceglobal time-independent Lagrangian dynamics

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

Related Items (3)

Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture ⋮ A Hamilton–Jacobi theory for implicit differential systems ⋮ Various approaches to conservative and nonconservative nonholonomic systems

Cites Work

• Constrained systems: A unified geometric approach
• A generalized geometric framework for constrained systems
• Hamiltonian mechanics in the presence of constraints
• Reduction of constrained mechanical systems and stability of relative equilibria
• On the second-order Euler-Lagrange equation in implicit form
• Tangent bundle geometry Lagrangian dynamics
• Constrained Hamiltonian systems as implicit differential equations
• Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers
• A generalized Lagrange equation in implicit form for non-conservative mechanics
• On the geometry of non-holonomic Lagrangian systems
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