Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reverse-engineering invariant manifolds with asymptotic phase   We present a recipe for rendering a submanifold normally hyperbolic and
invariant within a stability basin. The construction includes the ability to
choose the asymptotic phase map. We are motivated by the notion of "templates
and anchors" -- the biomechanical observation that animal motions are often
governed by low dimensional dynamics -- and the growing applications in
robotics which desire means for making such biologically derived templates
govern the dynamics of robots. Our approach is fairly universal, in the sense
that a broad range of model reduction constructions must be normally hyperbolic
if they are robust, and a broad range of such normally hyperbolic systems can
be produces from our construction.

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The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an