Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrange stability for impulsive Duffing equations   This work discusses the boundedness of solutions for impulsive Duffing
equation with time-dependent polynomial potentials. By KAM theorem, we prove
that all solutions of the Duffing equation with low regularity in time
undergoing suitable impulses are bounded for all time and that there are many
(positive Lebesgue measure) quasi-periodic solutions clustering at infinity.
This result extends some well-known results on Duffing equations to impulsive
Duffing equations.

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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an