Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cross frequency coupling in next generation inhibitory neural mass
  models   Coupling among neural rhythms is one of the most important mechanisms at the
basis of cognitive processes in the brain. In this study we consider a neural
mass model, rigorously obtained from the microscopic dynamics of an inhibitory
spiking network with exponential synapses, able to autonomously generate
collective oscillations (COs). These oscillations emerge via a super-critical
Hopf bifurcation, and their frequencies are controlled by the synaptic time
scale, the synaptic coupling and the excitability of the neural population.
Furthermore, we show that two inhibitory populations in a master-slave
configuration with different synaptic time scales can display various
collective dynamical regimes: namely, damped oscillations towards a stable
focus, periodic and quasi-periodic oscillations, and chaos. Finally, when
bidirectionally coupled the two inhibitory populations can exhibit different
types of theta-gamma cross-frequency couplings (CFCs): namely, phase-phase and
phase-amplitude CFC. The coupling between theta and gamma COs is enhanced in
presence of a external theta forcing, reminiscent of the type of modulation
induced in Hippocampal and Cortex circuits via optogenetic drive.

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The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin