Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shadowing for differential equations with grow-up   We consider the problem of shadowing for differential equations with grow-up.
We introduce so-called nonuniform shadowing properties (in which size of the
error depends on the point of the phase space) and prove for them analogs of
shadowing lemma. Besides, we prove a theorem about weighted shadowing for
flows. We compactify the system (using Poincare compactification, for example),
apply the results about nonuniform or weighted shadowing to the compactified
system, and then transfer the results back to the initial system using the
decompactification procedure.

9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: stat
11
The categories of this paper are: hep-lat