Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radiation Reaction and Center Manifolds   We study the effective dynamics of a mechanical particle coupled to a wave
field and subject to the slowly varying potential $V(\eps q)$ with $\eps$
small. To lowest order in $\eps$ the motion of the particle is governed by an
effective Hamiltonian. In the next order one obtains ``dissipative'' terms
which describe the radiation reaction. We establish that this dissipative
dynamics has a center manifold which is repulsive in the normal direction and
which is global, in the sense that for given data and sufficiently small $\eps$
the solution stays on the center manifold forever. We prove that the solution
of the full system is well approximated by the effective dissipative dynamics
on its center manifold.

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The categories of this paper are: adap-org
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph