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NCTS Webinar on Nonlinear Evolutionary Dynamics
 
15:00 - 16:30, March 13, 2024 (Wednesday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Activity Patterns in Ring Networks of Theta Neurons
Oleh Omel'chenko (University of Potsdam)

Abstract
The collective or emergent behavior of large networks of neurons is a topic of ongoing interest, with applications to the study of epilepsy, binocular rivalry, visual hallucinations, and working memory, among others.
One type of network often considered is a ring, where neurons can be thought of as being arranged on a closed curve.
This is natural if some property of a neuron is correlated with an angular variable such as heading in a head directional network, the direction in the plane to a visual stimulus which is to be remembered or the orientation of a neuron's receptive field.
In this talk, we consider a ring network of theta neurons with nonlocal coupling (both symmetric and asymmetric). By considering a number of different parameter sets we describe a variety of possible activity patterns in this system and the typical bifurcation scenarios that mediate their appearance.
In particular, we focus on so-called "bump" states,in which a spatially localized group of neurons is active while all other neurons in the network are quiescent.
For such states, we conduct a detailed study of their properties using the continuum limit approach and the Ott-Antonsen method. 
 
Meeting number (access code): 2512 009 3365
Meeting password: fB56TtVyrw2
 
Organizers: Chueh-Hsin Chang (CCU), Jia-Yuan Dai (NCHU), Bo-Chih Huang (CCU), Chih-Chiang Huang (CCU), Alejandro López-Nieto (NTU), Chang-Hong Wu (NYCU)


 

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