Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the fate of dynamical systems under a trade-off between cost and
  precision   We analyze the fate of dynamical systems that consist of two kind of
processes. The first type is supposed to perform a certain function by
processing information at a required high accuracy, which is, however, limited
to less than 100 percent, while the second process serves to maintain the
required precision. Both processes are assumed to be subject to a trade-off
between cost and precision, where the cost have to be paid from renewable but
limited resources. In a discrete map we pursue the time evolution of errors and
determine the conditions under which the fate of the system is either a stable
performance at the desired accuracy, or a deterioration. Deterioration may be
realized either as an accumulation of errors or a decline of resources when
they are all absorbed for maintenance. We point to possible implications for
living organisms and their perspectives to avoid an accumulation of errors in
the course of time.

29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys