| Presentation | 2000/10/14 On Oscillation Mode and Basin Structure of Quintic Potential System Yoshitaka Hasegawa, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Escape equation systems and swing equation systems were investigated very much because of their applicability to various fields. In such systems the dependency between action variable and period of a closed orbit, which appears in autonomous and conservative conditions, is qualitatively the same, so that many investigators observed similar fashion of basin structures and sustained regions of steady oscillations. While quintic potential system and Duffing equation system have different action-period characteristic from the above systems, and such a feature seems to partially play a role of producing various oscillation modes such as resonant and subharmonic ones. By numerical simulations, the author investigated a quintic potential system driven with an external force, and in this report, he will complete regions of different steady states and their basin structures, which are particulary stated in connection with an escape equation system. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | quintic potential / escape equation / Duffing equation / swing equation / Melnikov's method / basin of attraction |
| Paper # | NLP2000-85 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2000/10/14(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) | On Oscillation Mode and Basin Structure of Quintic Potential System |
| Sub Title (in English) | |
| Keyword(1) | quintic potential |
| Keyword(2) | escape equation |
| Keyword(3) | Duffing equation |
| Keyword(4) | swing equation |
| Keyword(5) | Melnikov's method |
| Keyword(6) | basin of attraction |
| 1st Author's Name | Yoshitaka Hasegawa |
| 1st Author's Affiliation | Department of Electrical Engineering, Kyoto University() |
| Date | 2000/10/14 |
| Paper # | NLP2000-85 |
| Volume (vol) | vol.100 |
| Number (no) | 382 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |