Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Codimension Two Bifurcations and Rythms in Neural Mass Models   Temporal lobe epilepsy is one of the most common chronic neurological
disorder characterized by the occurrence of spontaneous recurrent seizures
which can be observed at the level of populations through electroencephalogram
(EEG) recordings. This paper summarizes some preliminary works aimed to
understand from a theoretical viewpoint the occurrence of this type of seizures
and the origin of the oscillatory activity in some classical cortical column
models. We relate these rhythmic activities to the structure of the set of
periodic orbits in the models, and therefore to their bifurcations. We will be
mainly interested Jansen and Rit model, and study the codimension one, two and
a codimension three bifurcations of equilibria and cycles of this model. We can
therefore understand the effect of the different biological parameters of the
system of the apparition of epileptiform activity and observe the emergence of
alpha, delta and theta sleep waves in a certain range of parameter. We then
present a very quick study of Wendling and Chauvel's model which takes into
account GABA A inhibitory postsynaptic currents.

17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys