Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Volterra-series approach to stochastic nonlinear dynamics: The Duffing
  oscillator driven by white noise   The Duffing oscillator is a paradigm of bistable oscillatory motion in
physics, engineering, and biology. Time series of such oscillations are often
observed experimentally in a nonlinear system excited by a spontaneously
fluctuating force. One is then interested in estimating effective parameter
values of the stochastic Duffing model from these observations--a task that has
not yielded to simple means of analysis. To this end we derive theoretical
formulas for the statistics of the Duffing oscillator's time series. Expanding
on our analytical results, we introduce methods of statistical inference for
the parameter values of the stochastic Duffing model. By applying our method to
time series from stochastic simulations, we accurately reconstruct the
underlying Duffing oscillator. This approach is quite straightforward--similar
techniques are used with linear Langevin models--and can be applied to time
series of bistable oscillations that are frequently observed in experiments.

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The categories of this paper are: hep-ex
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The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: patt-sol