Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Can Classical Linear Harmonic Oscillator Hold Chaotic (Fractal) Dynamics   In this work a classical linear harmonic oscillator, evolving during a small
time interval (so that simple non-linear, second order Taylor approximation of
the dynamics is satisfied) and restarting (by a mechanism) in a strictly chosen
series of the time moments, is considered. It is shown that given linear
oscillator behaves dynamically analogously to discrete logistic equation,
which, as an especial case, includes chaotic (fractal) behaviour too. (All this
refers too on the analogous quantum systems, e.g. ammonia molecule with simple
vibration dynamics of the atoms many times perturbed by measurements in
strictly defined time moments.

29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
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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: patt-sol
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
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The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: solv-int