Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ascertaining when a basin is Wada: the merging method   Trying to imagine three regions separated by a unique boundary seems a
difficult task. However, this is exactly what happens in many dynamical systems
showing Wada basins. Here, we present a new perspective on the Wada property: A
Wada boundary is the only one that remains unaltered under the action of
merging the basins. This observation allows to develop a new method to test the
Wada property, which is much faster than the previous ones. Furthermore,
another major advantage of the merging method is that a detailed knowledge of
the dynamical system is not required.

14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph