Nonlinear connections for nonconservative mechanical systems

DOI10.1016/S0034-4877(07)00013-4zbMath1156.53047arXivmath/0609818OpenAlexW1496509480MaRDI QIDQ2480675

Radu Miron, Ioan Bucataru

Publication date: 3 April 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609818

zbMATH Keywords

dissipative systemnonlinear connectionexternal force fieldnonconservative mechanical systemsemi-spray

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Lagrange's equations (70H03)

Related Items (4)

On tangent geometry and generalised continuum with defects ⋮ Approximate Birkhoffian formulations for nonconservative systems ⋮ Mechanical systems in the generalized Lie algebroids framework ⋮ Generalized Helmholtz conditions for non-conservative Lagrangian systems

Cites Work

• Noether's theory in classical nonconservative mechanics
• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• Espaces variationnels et mécanique
• The geometry of Lagrange spaces: theory and applications
• Structure presque tangente et connexions. I
• Vector fields generating analysis for classical dissipative systems
• Dissipative Control of Mechanical Systems: A Geometric Approach
• On Horizontal Distributions on the Tangent Bundle of a Differentiable Manifold
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