Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eulerian Opinion Dynamics with Bounded Confidence and Exogenous Input   The formation of opinions in a large population is governed by endogenous
(human interactions) and exogenous (media influence) factors. In the analysis
of opinion evolution in a large population, decision making rules can be
approximated with non-Bayesian "rule of thumb" methods. This paper focuses on
an Eulerian bounded-confidence model of opinion dynamics with a potential
time-varying input. First, we prove some properties of this system's dynamics
with time-varying input. Second, we derive a simple sufficient condition for
opinion consensus, and prove the convergence of the population's distribution
with no input to a sum of Dirac Delta functions. Finally, we define an input's
attraction range, and for a normally distributed input and uniformly
distributed initial population, we conjecture that the length of attraction
range is an increasing affine function of population's confidence bound and
input's variance.

7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg