| Presentation | 1993/6/18 On a(2N+1) Dimensional Hysteresis Chaos Generator Kunihiko Mitsubori, Toshimichi Saito, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This article considers an(2N+l)-dimensional autonomous system that includes one PWL hysteresis element.The system dynamics is governed by two symmetric linear Jordan forms connected to each other by hysteresis switchings.First,we can prove a sufficient condition for observable chaos gneration in the 3-dimensional case. Next,by using the piecewise exact solutions,we derive an analytic formulae of (2N-l)-dimensional return map,its Jacobian matrix and its determinant.Applying these for the evaluation of Lyapunov exponents in the 5-dimensional case,it is clarified that the system exhibits various kinds of chaos and related interesting bifurcations. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Chaos / Hyper chaos / Torus / Hysteresis element / Piecewise linear system |
| Paper # | CAS93-41,NLP93-29 |
| Date of Issue |
| Conference Information | |
| Committee | CAS |
|---|---|
| Conference Date | 1993/6/18(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 | Circuits and Systems (CAS) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On a(2N+1) Dimensional Hysteresis Chaos Generator |
| Sub Title (in English) | |
| Keyword(1) | Chaos |
| Keyword(2) | Hyper chaos |
| Keyword(3) | Torus |
| Keyword(4) | Hysteresis element |
| Keyword(5) | Piecewise linear system |
| 1st Author's Name | Kunihiko Mitsubori |
| 1st Author's Affiliation | Electrical Engineering Department,HOSEI University() |
| 2nd Author's Name | Toshimichi Saito |
| 2nd Author's Affiliation | Electrical Engineering Department,HOSEI University |
| Date | 1993/6/18 |
| Paper # | CAS93-41,NLP93-29 |
| Volume (vol) | vol.93 |
| Number (no) | 101 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |