Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bernoulli mapping with hole and a saddle-node scenario of the birth of
  hyperbolic Smale--Williams attractor   One-dimensional Bernoulli mapping with hole is suggested to describe the
regularities of the appearance of a chaotic set under the saddle-node scenario
of the birth of the Smale--Williams hyperbolic attractor. In such a mapping, a
non-trivial chaotic set (with non-zero Hausdorff dimension) arises in the
general case as a result of a cascade of period-adding bifurcations
characterized by geometric scaling both in the phase space and in the parameter
space. Numerical analysis of the behavior of models demonstrating the
saddle-node scenario of birth of a hyperbolic chaotic Smale--Williams attractor
shows that these regularities are preserved in the case of multidimensional
systems. Limits of applicability of the approximate 1D model are discussed.

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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci