Connectionists: Two papers on periodic or chaotic synchronization in PNN

[Takashi KANAMARU]

Dear all,

I would like to announce two papers on
periodic or chaotic synchronization in PNN are available
from the following page.
http://brain.cc.kogakuin.ac.jp/~kanamaru/research/


Takashi Kanamaru,
Analysis of synchronization between two modules
of pulse neural networks with excitatory and inhibitory
connections,
Neural Computation, vol.18, no.5 (2006) pp.1111-1131.

http://brain.cc.kogakuin.ac.jp/~kanamaru/research/kanamaru-nc2006.pdf

Abstract
To study the synchronized oscillations among distant
neurons
in the visual cortex, the synchronization between two
modules
of pulse neural networks was analyzed using the phase
response function.
It was found that the inter-module connections from
excitatory
to excitatory ensembles tend to stabilize the anti-phase
synchronization,
and that the inter-module connections from excitatory to
inhibitory ensembles
tend to stabilize the in-phase synchronization.
It was also found that the inter-module synchronization
was
more noticeable when the inner-module synchronization was
weak.


Takashi Kanamaru,
Blowout bifurcation and on-off intermittency in pulse
neural networks
with multiple modules,
International Journal of Bifurcation and Chaos, vol.16,
no.11 (2006)
(in press).

http://brain.cc.kogakuin.ac.jp/~kanamaru/research/kanamaru-ijbc2006.pdf

Abstract
To study the mechanism by which high-dimensional chaos
emerges
in neural systems, the synchronization of chaotic firings
in class 1 pulse neural networks composed of excitatory
and inhibitory
ensembles was analyzed. In the system with two modules
(i.e., two pulse neural networks), blowout bifurcation and
on-off intermittency were observed when the inter-module
connection
strengths were reduced from large values.
In the system with three modules, rearrangement of
synchronized clusters
and chaotic itinerancy were observed.
Such dynamics may be one of the mechanisms through which
high-dimensional chaos is generated in neural systems.

Best regards,

Takashi KANAMARU
http://brain.cc.kogakuin.ac.jp/~kanamaru/
Department of Innovative Mechanical Engineering,
Faculty of Global Engineering, Kogakuin University,
2665-1 Nakano, Hachioji-city, Tokyo 192-0015, Japan