Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regimes of local energy pulsations in non-linear Klein-Gordon trimer:
  Higher dimensional analogs of limiting phase trajectories   In the present paper we consider the dynamics of special class of modulated
regimes emerging in the Klein-Gordon trimer. In particular, this study unveils
the unique states of resonant energy transfer manifested by the regular energy
pulsations localized on the first two elements of the chain. This state is
regarded as the higher dimensional analog of limiting phase trajectory
corresponding to the regime of maximal energy transfer in the 2DOF, anharmonic,
oscillatory models. We show that in contrast to the limiting phase
trajectories, this special state of local energy transfer emerging in the
Klein-Gordon trimer undergoes additional transition leading to its complete
elimination. By employing the special order reduction procedure, we describe
analytically the mechanism of formation and destruction of this peculiar,
dynamical state. Finally, we demonstrate the strong correlation between the
bifurcations of this state to the series of spontaneous transitions from
localized to delocalized energy pulsations undergone by the impulsive response
of the Klein-Gordon trimer. Results of the analytical model are well in
agreement with these of the numerical simulations.

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat