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eulerlagrange equation
Kinetics
Lagrangian System
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euler lagrange
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Routh's procedure for nonAbelian symmetry groups
Routh's procedure for nonAbelian symmetry groups,M. Crampina
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Routh's procedure for nonAbelian symmetry groups
(
Citations: 4
)
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M. Crampina
We extend Routh's reduction procedure to an arbitrary
Lagrangian system
(that is, one whose Lagrangian is not necessarily the difference of kinetic and potential energies) with a
symmetry group
which is not necessarily Abelian. To do so we analyse the restriction of the EulerLagrange field to a
level set
of momentum in velocity phase space. We present a new method of analysis based on the use of quasivelocities. We discuss the reconstruction of solutions of the full EulerLagrange equations from those of the reduced equations.
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References
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(
Citations: 6
)
T. Mestdag
,
M. Crampin
Journal:
Journal of Physics Amathematical and Theoretical  J PHYS AMATH THEOR
, vol. 41, no. 34, 2008
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Citations
(4)
Routhian reduction for quasiinvariant Lagrangians
(
Citations: 1
)
B. Langerock
,
F. Cantrijn
,
J. Vankerschaver
Published in 2010.
Routh Reduction for Singular Lagrangians
(
Citations: 1
)
Bavo Langerock
,
Marco Castrillón López
Published in 2010.
Anholonomic frames in constrained dynamics
(
Citations: 1
)
M. Crampin
,
T. Mestdag
Journal:
Dynamical Systemsan International Journal  DYN SYST
, vol. 25, no. 2, pp. 159187, 2010
Invariant Lagrangians, mechanical connections and the Lagrange Poincaré equations
(
Citations: 6
)
T. Mestdag
,
M. Crampin
Journal:
Journal of Physics Amathematical and Theoretical  J PHYS AMATH THEOR
, vol. 41, no. 34, 2008