Second-order dynamical systems of Lagrangian type with dissipation

DOI10.1016/j.difgeo.2011.04.021zbMath1222.70017OpenAlexW1999490522WikidataQ115356887 ScholiaQ115356887MaRDI QIDQ719835

Mike Crampin, Willy Sarlet, Tom Mestdag

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/1930197

zbMATH Keywords

inverse problemLagrangian systemsdissipative forcesHelmholtz conditions

Mathematics Subject Classification ID

Inverse problems for systems of particles (70F17) Inverse problems in optimal control (49N45) Lagrange's equations (70H03)

Related Items (4)

On infinite-dimensional Lagrangian systems with nonpotential forces ⋮ Non-standard Lagrangians in rotational dynamics and the modified Navier-Stokes equation ⋮ Lagrangian descriptions of dissipative systems: a review ⋮ On a new generalized local fractal derivative operator

Cites Work

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• A generalization of the Helmholtz conditions for the existence of a first-order Lagrangian
• The inverse problem for invariant Lagrangians on a Lie group
• On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces
• A generalization of the Helmholtz conditions for the existence of a first-order Lagrangian using nonholonomic velocities
• Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations

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