Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactifications of Dynamical Systems   While compactness is an essential assumption for many results in dynamical
systems theory, for many applications the state space is only locally compact.
Here we provide a general theory for compactifying such systems, i.e. embedding
them as invariant open subsets of compact systems. In the process we don't want
to introduce recurrence which was not there in the original system. For example
if a point lies on an orbit which remains in any compact set for only a finite
span of time then the point becomes non-wandering if we use the one-point
compactification. Instead, we develop here the appropriate theory of dynamic
compactification.

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The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex