Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soap-bubble Optimization of Gaits   In this paper, we present a geometric variational algorithm for optimizing
the gaits of kinematic locomoting systems. The dynamics of this algorithm are
analogous to the physics of a soap bubble, with the system's Lie bracket
supplying an "inflation pressure" that is balanced by a "surface tension" term
derived from a Riemannian metric on the system's shape space. We demonstrate
this optimizer on a variety of system geometries (including Purcell's swimmer)
and for optimization criteria that include maximizing displacement and
efficiency of motion for both translation and turning motions.

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The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph