Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An example of physical system with hyperbolic attractor of Smale -
  Williams type   A simple and transparent example of a non-autonomous flow system, with
hyperbolic strange attractor is suggested. The system is constructed on a basis
of two coupled van der Pol oscillators, the characteristic frequencies differ
twice, and the parameters controlling generation in both oscillators undergo a
slow periodic counter-phase variation in time. In terms of stroboscopic
Poincar\'{e} section, the respective four-dimensional mapping has a hyperbolic
strange attractor of Smale - Williams type. Qualitative reasoning and
quantitative data of numerical computations are presented and discussed, e.g.
Lyapunov exponents and their parameter dependencies. A special test for
hyperbolicity based on statistical analysis of distributions of angles between
stable and unstable subspaces of a chaotic trajectory has been performed.
Perspectives of further comparative studies of hyperbolic and non-hyperbolic
chaotic dynamics in physical aspect are outlined.

25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat