Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steering most probable escape paths by varying relative noise
  intensities   We demonstrate the possibility to systematically steer the most probable
escape paths (MPEPs) by adjusting relative noise intensities in dynamical
systems that exhibit noise-induced escape from a metastable point via a saddle
point. Using a geometric minimum action approach, an asymptotic theory is
developed which is broadly applicable to fast-slow systems and shows the
important role played by the nullcline associated with the fast variable in
locating the MPEPs. A two-dimensional quadratic system is presented which
permits analytical determination of both the MPEPs and associated action
values. Analytical predictions agree with computed MPEPs, and both are
numerically confirmed by constructing prehistory distributions directly from
the underlying stochastic differential equation.

33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics