Titlebook: Geometry, Mechanics, and Dynamics; The Legacy of Jerry Dong Eui Chang,Darryl D. Holm,Tudor Ratiu Book 2015 Springer Science+Business Media

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The Role of ,-Reduction for Swimming in Stokes and Navier-Stokes Fluids, reduced phase space, we obtain dynamically robust relatively periodic orbits wherein each period is related to the previous by an . phase. Clearly, an . phase consisting of nonzero translation and identity rotation means directional swimming, while non-trivial rotations correspond to turning with a constant turning radius.

jocular

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A Soothing Invisible Hand: Moderation Potentials in Optimal Control,family of moderation incentives for control-affine systems with quadratic control constraints possesses simple, readily calculated moderation potentials. An elementary planar projectile problem with controlled velocity illustrates the influence of the moderation incentive on the optimal trajectory.

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Precursor

Debasis Barik,Tushar Agrawal,Sonalde Desaire closely related with a part of Marsden’s work. In addition, the results contained in this paper can be considered as a local version of the study that we have started in Marrero et al. (Nonlinearity 19(6):1313–1348, 2006), on the geometry of discrete Mechanics on Lie groupoids.

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The Local Description of Discrete Mechanics,re closely related with a part of Marsden’s work. In addition, the results contained in this paper can be considered as a local version of the study that we have started in Marrero et al. (Nonlinearity 19(6):1313–1348, 2006), on the geometry of discrete Mechanics on Lie groupoids.