2 papers
nlin.CD2005
N-Particle Dynamics of the Euler Equations for Planar Diffeomorphisms
Robert I McLachlan, Stephen Marsland
The Euler equations associated with diffeomorphism groups have received much recent study because of their links with fluid dynamics, computer vision, and mechanics. In this paper,…
math-ph2002
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…