Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some aspects of the discretization of the Suslov problem   In this paper we explore the discretization of Euler-Poincar\'e-Suslov
equations on $SO(3)$, i.e. of the Suslov problem. We show that the consistency
order corresponding to the unreduced and reduced setups, when the discrete
reconstruction equation is given by a Cayley retraction map, are related to
each other in a nontrivial way. We give precise conditions under which general
and variational integrators generate a discrete flow preserving the constraint
distribution. We establish general consistency bounds and illustrate the
performance of several discretizations by some plots. Moreover, along the lines
of [14] we show that any constraints-preserving discretization may be
understood as being generated by the exact evolution map of a time-periodic
non-autonomous perturbation of the original continuous-time nonholonomic
system.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
17
The categories of this paper are: q-fin