Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of multiple noise-induced transitions in a Lasota-Mackey map   We prove the existence of multiple noise-induced transitions in the
Lasota-Mackey map, which is a class of one dimensional random dynamical system
with additive noise. The result is achieved by the help of rigorous computer
assisted estimates. We first approximate the stationary distribution of the
random dynamical system and then compute certified error intervals for the
Lyapunov exponent. We find that the sign of the Lyapunov exponent changes at
least three times when increasing the noise amplitude. We also show numerical
evidence that the standard non-rigorous numerical approximation by finite-time
Lyapunov exponent is valid with our model for a sufficiently large number of
iterations. Our method is expected to work for a broad class of nonlinear
stochastic phenomena.

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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph