Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The effect of colored noise on heteroclinic orbits   The dynamics of a weakly dissipative Hamiltonian system submitted to
stochastic perturbations has been investigated by means of asymptotic methods.
The probability of noise-induced separatrix crossing, which drastically changes
the fate of the system, is derived analytically in the case where noise is an
additive Kubo-Anderson process. This theory shows how the geometry of the
separatrix, as well as the noise intensity and correlation time, affect the
statistics of crossing. Results can be applied to a wide variety of systems,
and are valid in the limit where the noise correlation time scale is much
smaller than the time scale of the undisturbed Hamiltonian dynamics.

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The categories of this paper are: cs
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc