| Presentation | 2014-03-10 A Study of Hysteresis Relaxation Oscillator Driven by a Periodic Square Wave Takuya KURIHARA, Kenya JIN'NO, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In order to clarify synchronization phenomena, we analyze a relaxation oscillator which contains a hysteresis element. The oscillator is based on a human sleep-awakening model. In this article, we analyze the hysteresis relaxation oscillator in which threshold is driven by a periodic square wave as an external force. Some previous works have clarified that the system generates various periodic and quasi-periodic attractors. The co-existence region of the attractors have been analyzed. Also, the influence of the parameters on the characteristic of the attractors have been analyzed In some cases. However, the theoretical analysis of the behavior of the hysteresis relaxation oscillator is not sufficient. In this article, we focus on the period and the amplitude of the external force. We will clarify the relationship between the external force and the synchronization patterns by using the numerical simulations. Also, we will analyze the influence of the parameters on the characteristic of the attractors. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | relaxation oscillator / periodic external force / threshold / synchronization / Arnold's tongue |
| Paper # | NLP2013-167 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2014/3/3(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Study of Hysteresis Relaxation Oscillator Driven by a Periodic Square Wave |
| Sub Title (in English) | |
| Keyword(1) | relaxation oscillator |
| Keyword(2) | periodic external force |
| Keyword(3) | threshold |
| Keyword(4) | synchronization |
| Keyword(5) | Arnold's tongue |
| 1st Author's Name | Takuya KURIHARA |
| 1st Author's Affiliation | Nippon Institute of Technology() |
| 2nd Author's Name | Kenya JIN'NO |
| 2nd Author's Affiliation | Nippon Institute of Technology |
| Date | 2014-03-10 |
| Paper # | NLP2013-167 |
| Volume (vol) | vol.113 |
| Number (no) | 486 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |