Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex Singularities and the Lorenz Attractor   The Lorenz attractor is one of the best known examples of applied
mathematics. However, much of what is known about it is a result of numerical
calculations and not of mathematical analysis. As a step toward mathematical
analysis, we allow the time variable in the three dimensional Lorenz system to
be complex, hoping that solutions that have resisted analysis on the real line
will give up their secrets in the complex plane. Knowledge of singularities
being fundamental to any investigation in the complex plane, we build upon
earlier work and give a complete and consistent formal development of complex
singularities of the Lorenz system using {\it psi series}. The psi series
contain two undetermined constants. In addition, the location of the
singularity is undetermined as a consequence of the autonomous nature of the
Lorenz system. We prove that the psi series converge, using a technique that is
simpler and more powerful than that of Hille, thus implying a two parameter
family of singular solutions of the Lorenz system. We pose three questions,
answers to which may bring us closer to understanding the connection of complex
singularities to Lorenz dynamics.

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The categories of this paper are: q-bio
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: quant-ph