7 citations · 35 across the 19 of their papers we have counts for
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math.DS2020
Generalized Maslov indices for non-Hamiltonian systems
Thomas John Baird, Paul Cornwell, Graham Cox +2
We extend the definition of the Maslov index to a broad class of non-Hamiltonian dynamical systems. To do this, we introduce a family of topological spaces--which we call Maslov-Ar…
math.DS2017
The ponderomotive Lorentz force
Graham Cox, Mark Levi
This paper describes a curious phenomenon: a particle in a rapidly varying potential is subject to an effective magnetic-like force. This force is in addition to the well-known pon…
math.DS2016
Gaussian curvature and gyroscopes
Graham Cox, Mark Levi
We relate Gaussian curvature to the gyroscopic force, thus giving a mechanical interpretation of the former and a geometrical interpretation of the latter. We do so by considering…