@article{oai:kagawa-u.repo.nii.ac.jp:00000469, author = {北島, 博之 and Kitajima, Hiroyuki and 堀川, 洋 and Horikawa, Yo}, issue = {3}, journal = {Chaos, solitons, & fractals}, month = {Nov}, note = {We consider unidirectionally coupled ring networks of neurons with inhibitory connections. It is known that when a number of inhibitory neurons is even, the system never has stable oscillatory modes. However, we observed oscillatory modes in such a case. In this paper, we clarify the oscillation mechanism in a state space. We investigate the relationship between these oscillatory modes and the unstable periodic solutions (UPSs) generated by the Hopf bifurcations. As a result we find that these transient oscillatory modes are generated by trajectories closing to the UPS and staying around it for a long time. We also confirm this phenomenon in a simple electrical circuit using inverting operational amplifiers.}, pages = {1854--1859}, title = {Mechanism of long transient oscillations in cyclic coupled systems}, volume = {42}, year = {2009}, yomi = {キタジマ, ヒロユキ and ホリカワ, ヨウ} }