112 citations · 1.1k across the 65 of their papers we have counts for
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Higher order phase averaging for highly oscillatory systems
Werner Bauer, Colin J. Cotter, Beth Wingate
We introduce a higher order phase averaging method for nonlinear oscillatory systems. Phase averaging is a technique to filter fast motions from the dynamics whilst still accountin…
A variational formulation of vertical slice models
C. J. Cotter, D. D. Holm
A variational framework is defined for vertical slice models with three dimensional velocity depending only on x and z. The models that result from this framework are Hamiltonian,…
Continuous and discrete Clebsch variational principles
C. J. Cotter, D. D. Holm
The Clebsch method provides a unifying approach for deriving variational principles for continuous and discrete dynamical systems where elements of a vector space are used to contr…
Multisymplectic formulation of fluid dynamics using the inverse map
C. J. Cotter, D. D. Holm, P. E. Hydon
We construct multisymplectic formulations of fluid dynamics using the inverse of the Lagrangian path map. This inverse map -- the ``back-to-labels'' map -- gives the initial Lagran…
Semi-geostrophic particle motion and exponentially accurate normal forms
Colin J Cotter, Sebastian Reich
We give an exponentially-accurate normal form for a Lagrangian particle moving in a rotating shallow-water system in the semi-geostrophic limit, which describes the motion in the r…