Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of Noise on Excursions To and Back From Infinity   The effect of additive white noise on a model for bursting behavior in large
aspect-ratio binary fluid convection is considered. Such bursts are present in
systems with nearly square symmetry and are the result of heteroclinic cycles
involving infinite amplitude states created when the square symmetry is broken.
A combination of numerical results and analytical arguments show how even a
very small amount of noise can have a very large effect on the amplitudes of
successive bursts. Large enough noise can also affect the physical
manifestations of the bursts. Finally, it is shown that related bursts may
occur when white noise is added to the normal form equations for the Hopf
bifurcation with exact square symmetry.

13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn