66 research outputs found
Anholonomic frames in constrained dynamics
We demonstrate the usefulness of anholonomic frames in the contexts of
nonholonomic and vakonomic systems. We take a consistently
differential-geometric approach. As an application, we investigate the
conditions under which the dynamics of the two systems will be consistent. A
few illustrative examples confirm the results.Comment: 33 pages, to appear in `Dynamical Systems. An international journal.
Generalized iterated wreath products of symmetric groups and generalized rooted trees correspondence
Consider the generalized iterated wreath product of symmetric groups. We give a complete description of the traversal
for the generalized iterated wreath product. We also prove an existence of a
bijection between the equivalence classes of ordinary irreducible
representations of the generalized iterated wreath product and orbits of labels
on certain rooted trees. We find a recursion for the number of these labels and
the degrees of irreducible representations of the generalized iterated wreath
product. Finally, we give rough upper bound estimates for fast Fourier
transforms.Comment: 18 pages, to appear in Advances in the Mathematical Sciences. arXiv
admin note: text overlap with arXiv:1409.060
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