128 citations · 592 across the 51 of their papers we have counts for
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math-ph2002★ 8 cited
The algebraic entropy of classical mechanics
Robert I McLachlan, Brett Ryland
We describe the `Lie algebra of classical mechanics', modelled on the Lie algebra generated by kinetic and potential energy of a simple mechanical system with respect to the canoni…
math.NA2002
Lie group foliations: Dynamical systems and integrators
Robert I. McLachlan, Matthew Perlmutter, G. Reinout W. Quispel
Foliate systems are those which preserve some (possibly singular) foliation of phase space, such as systems with integrals, systems with continuous symmetries, and skew product sys…