Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Turing machine of a harmonic oscillator: from the code to the
  dynamic system   In this work we consider a dynamic system consisting of a damped harmonic
oscillator and we formalize a Turing Machine whose definition in terms of
states, alphabet and transition rules, can be considered equivalent to that of
the oscillator. We prove that the Turing Machine of a FOR loop corresponds to
that of the oscillator and we ask ourselves if it is possible to obtain the
dynamic system of the harmonic oscillator as a physical realization of the FOR
loop. We discuss the relationship between the results found and the science of
Can and Can't. We discuss the possibility of an evolution of computer science
also towards non-computerized specialized machines whose operating principle is
designed as an automatic process starting from a source code instead of as a
work of human ingenuity. The approach to the implementation of algorithms in
dynamic systems instead of universal computers can be particularly interesting
for the field of both diagnostic and implantable medical devices.

32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph