Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A non-autonomous flow system with Plykin type attractor   A non-autonomous flow system is introduced with an attractor of Plykin type
that may serve as a base for elaboration of real systems and devices
demonstrating the structurally stable chaotic dynamics. The starting point is a
map on a two-dimensional sphere, consisting of four stages of continuous
geometrically evident transformations. The computations indicate that in a
certain parameter range the map has a uniformly hyperbolic attractor. It may be
represented on a plane by means of a stereographic projection. Accounting
structural stability, a modification of the model is undertaken to obtain a set
of two non-autonomous differential equations of the first order with smooth
coefficients. As follows from computations, it has the Plykin type attractor in
the Poincar\'{e} cross-section.

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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas