Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A nonautonomous dynamics perspective for the jacobian conjecture   Firstly, we introduce a global problem on nonuniform a\-symptotic stability
for nonautonomous differential systems, whose res\-triction to the autonomous
framework is the classical Markus--Yamabe Conjecture. Secondly, we prove that
this stability problem implies, after a certain initial time, the global
injectivity of the map corresponding to the system. To cope with the above
claim, we propose a notion of injectivity tailored to the nonautonomous
context.

0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat