N-phase oscillation of a neural oscillator connected with twisted ring structure
✍ Scribed by Yuichi Nakamura; Yoshihiro Nakano; Hiroshi Kawakami
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 468 KB
- Volume
- 83
- Category
- Article
- ISSN
- 1042-0967
No coin nor oath required. For personal study only.
✦ Synopsis
When certain symmetry is assumed for an oscillator, an oscillation phenomenon caused by such symmetry can be observed. In this paper, a neural oscillator that generates an N-phase solution by a circulating structure in the system is studied. An EI pair consisting of a mutual coupling of exciting and inhibitory neurons is considered. A system is proposed that consists of N twisted ring structure composed of the EI pairs. The oscillation condition of this system is derived. It is found that a stable N-phase solution exists as one of the oscillation modes. Further, the various oscillation modes seen in the system with N = 3 are analyzed by means of the bifurcation diagram and a phase plane.