Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transition to chaos and escape phenomenon in two degrees of freedom
  oscillator with a kinematic excitation   We study the dynamics of a two-degrees-of-freedom (two DOF) nonlinear
oscillator representing a quartercar model excited by a road roughness profile.
Modelling the road profile by means of a harmonic function we derive the
Melnikov criterion for a system transition to chaos or escape. The analytically
obtained estimations are confirmed by numerical simulations. To analyze the
transient vibrations we used recurrences.

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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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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: ao-sci
4
The categories of this paper are: cond-mat
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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: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an