Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The structure of the moduli spaces of toric dynamical systems   We consider complex balanced mass-action systems, also called toric dynamical
systems. They are polynomial dynamical systems arising from reaction networks
and have remarkable dynamical properties. We study the topological structure of
their moduli spaces (i.e., the toric locus). First we show that the complex
balanced equilibria depend continuously on the parameter values. Using this
result, we prove that the moduli space of any toric dynamical system is
connected. In particular, we emphasize the product structure of the moduli
space: it is homeomorphic to the product of the set of complex balanced flux
vectors and the affine invariant polyhedron.

27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics