Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noise-Induced Stabilization of Planar Flows II   We continue the work started in Part I of this article, showing how the
addition of noise can stabilize an otherwise unstable system. The analysis
makes use of nearly optimal Lyapunov functions. In this continuation, we remove
the main limiting assumption of Part I by an inductive procedure as well as
establish a lower bound which shows that our construction is radially sharp. We
also prove a version of Peskir's \cite{Peskir_07} generalized Tanaka formula
adapted to patching together Lyapunov functions. This greatly simplifies the
analysis used in previous works.

37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th