HIGHER-ORDER DISCRETE LAGRANGIAN MECHANICS

DOI10.1142/S0219887806001235zbMath1136.70319OpenAlexW1982324941MaRDI QIDQ5484697

Roberto Benito, Manuel de León, David Martín de Diego

Publication date: 21 August 2006

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887806001235

zbMATH Keywords

geometric integrationdiscrete mechanicshigher-order Lagrangian mechanics

Mathematics Subject Classification ID

Hamilton's principle (70H25) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items

The variational discretization of the constrained higher-order Lagrange-Poincaré equations ⋮ Variational integrators for mechanical control systems with symmetries ⋮ Second-order variational problems on Lie groupoids and optimal control applications ⋮ On variational integrators for optimal control of mechanical control systems ⋮ DISCRETE SECOND-ORDER EULER–POINCARÉ EQUATIONS: APPLICATIONS TO OPTIMAL CONTROL ⋮ Geometric integrators for higher-order variational systems and their application to optimal control ⋮ Higher-order discrete variational problems with constraints ⋮ Fractional damping through restricted calculus of variations ⋮ Optimal control of underactuated mechanical systems: A geometric approach

Cites Work

• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• On the existence of local and global Lagrangians for ordinary differential equations
• Higher-order differential equations and higher-order lagrangian mechanics
• GEOMETRIC STUDY OF HAMILTON'S VARIATIONAL PRINCIPLE
• Control problems in super-articulated mechanical systems
• Symplectic reduction of higher order Lagrangian systems with symmetry
• Symmetries and constants of the motion for higher-order Lagrangian systems