| Presentation | 2007-01-18 Bifurcation structure of a third-order chaos circuit and chaos synchronization in the coupled system Akihisa TAMURA, Tetsushi UETA, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Tamasevicius et. al proposed a very simple chaotic oscillator written by a third-order differential equation. The oscillator consists of an amplifier, an LCR resonance loop, an capacitor, a diode and three resistors. Some experimental laboratory results, derivation of the mathematical model and numerical simulations are reported, however, bifurcation analysis has not been investigated in detail. In this report, we compute bifurcation set for this model by using bifurcation theory and investigate chaos synchronization in the coupled system. From synchronous state it becomes chaos synchronization, from synchronous state it becomes asynchronous state, they related with period-doubling bifurcation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | bifurcation structure / chaotic attractors / coupled system / chaos synchronization |
| Paper # | NLP2006-128 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2007/1/11(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) | Bifurcation structure of a third-order chaos circuit and chaos synchronization in the coupled system |
| Sub Title (in English) | |
| Keyword(1) | bifurcation structure |
| Keyword(2) | chaotic attractors |
| Keyword(3) | coupled system |
| Keyword(4) | chaos synchronization |
| 1st Author's Name | Akihisa TAMURA |
| 1st Author's Affiliation | Faculty of Engineering, The University of Tokushima() |
| 2nd Author's Name | Tetsushi UETA |
| 2nd Author's Affiliation | Faculty of Engineering, The University of Tokushima |
| Date | 2007-01-18 |
| Paper # | NLP2006-128 |
| Volume (vol) | vol.106 |
| Number (no) | 452 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |