Symplectic Euler's modified Hamiltonian is not invariant under non-affine coordinate changes, and a new condition predicts when a cyclic-coordinate first integral is lost.
Discrete mechanics and optimal control applied to the compass gait biped
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.NA 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
support 1representative citing papers
citing papers explorer
-
On the coordinate system-dependence of the accuracy of symplectic numerical methods
Symplectic Euler's modified Hamiltonian is not invariant under non-affine coordinate changes, and a new condition predicts when a cyclic-coordinate first integral is lost.