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Dynamics on Leibniz manifolds
Journal of Geometry and Physics, no. 1 (2004): 1-27
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Abstract
This paper shows that various well-known dynamical systems can be described as vector fields associated to smooth functions via a bracket that defines what we call a Leibniz structure. We show that gradient flows, some control and dissipative systems, and non-holonomically constrained simple mechanical systems, among other dynamical behav...More
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