Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Feigenbaum's $\delta$ for a high dissipative bouncing ball model   We have studied a dissipative version of a one-dimensional Fermi accelerator
model. The dynamics of the model is described in terms of a two-dimensional,
nonlinear area-contracting map. The dissipation is introduced via innelastic
collisions of the particle with the walls and we consider the dynamics in the
regime of high dissipation. For such a regime, the model exhibits a route to
chaos known as period doubling and we obtain a constant along the bifurcations
so called the Feigenbaum's number $\delta$.

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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: patt-sol