| Presentation | 1997/10/7 Bifurcation Routes to Chaos in a Two-Degrees of Freedom Nonlinear Oscillator Kouhei Murayama, Akio Hasegawa, Tetsuro Endo, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In a certain coupled, weekly-nonlinear oscillator system, we can analyze the system with the averaging method if the nonlinearity is small enough. However, as the nonlinearity becomes large, the result of the averaging method is no more correct, and the attractor presents complex bifurcations toward chaos. In this paper, we investigate various bifurcations toward chaos observed from a mutually coupled oscillators with a negative nonlinear conductance and a nonlinear reactance. In particular, we clarify the extinction mechanism of chaotic attractors due to collision of saddle type objects. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | the averaging method / crisis / bifurcation / two-degrees of freedom / a coupled oscillator |
| Paper # | NLP97-99-112 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 1997/10/7(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 Routes to Chaos in a Two-Degrees of Freedom Nonlinear Oscillator |
| Sub Title (in English) | |
| Keyword(1) | the averaging method |
| Keyword(2) | crisis |
| Keyword(3) | bifurcation |
| Keyword(4) | two-degrees of freedom |
| Keyword(5) | a coupled oscillator |
| 1st Author's Name | Kouhei Murayama |
| 1st Author's Affiliation | Department of Electronics & Communication, School of Science & Technology, Meiji University() |
| 2nd Author's Name | Akio Hasegawa |
| 2nd Author's Affiliation | Department of Electronics & Communication, School of Science & Technology, Meiji University |
| 3rd Author's Name | Tetsuro Endo |
| 3rd Author's Affiliation | Department of Electronics & Communication, School of Science & Technology, Meiji University |
| Date | 1997/10/7 |
| Paper # | NLP97-99-112 |
| Volume (vol) | vol.97 |
| Number (no) | 301 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |