Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological entropy of Lorenz-like flows   We use entropy theory as a new tool for studying Lorenz-like classes of flows
in any dimension. More precisely, we show that every Lorenz-like class is
entropy expansive, and has positive entropy which varies continuously with
vector fields. We deduce that every such class contains a transverse homoclinic
orbit and, generically, is an attractor.

26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol