Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Newton-Hooke algebras, Niederer's transformation and
  Pais-Uhlenbeck oscillator   Dynamical systems invariant under the action of the l-conformal Newton-Hooke
algebras are constructed by the method of nonlinear realizations. The relevant
first order Lagrangians together with the corresponding Hamiltonians are found.
The relation to the Galajinsky and Masterov [Phys. Lett. B 723 (2013) 190]
approach as well as the higher derivatives formulation is discussed. The
generalized Niederer's transformation are presented which relate the systems
under consideration to those invariant under the action of the l-conformal
Galilei algebra [Nucl. Phys. B 876 (2013) 309]. As a nice application of these
results an analogue of Niederer's transformation, on the Hamiltonian level, for
the Pais-Uhlenbeck oscillator is constructed.

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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga