On Geometrical Couplings of Dissipation and Curl Forces
arXiv:2101.11884
Abstract
In this paper, we present several geometric ways to incorporate gyroscopic and dissipative forces to curl forces. We first present a proper metriplectic geometry. Then, using the Herglotz principle and generalized Euler-Lagrange equation, we propose a formulation of dissipative radial curl forces. Finally, we extend our result to azimuthal curl force using Galley's method, which leads to a natural formulation for Lagrangian and Hamiltonian dynamics of generic non-conservative systems.
arXiv commentDedicated to Sir Michael Berry on his 80th birthday with great respect and admiration
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