| Presentation | 2000/10/14 Condition for Chaos of the 3rd Order Symmetric Oscillator Masami KURAMITSU, Yuuzi KUROTUTI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we discuss about the parameter region where the 3rd order oscillator with only one equilibium point at origin generates chaos. When the nonlinear characteristic is asymmetric, the limit cycle produced by Hopf bifurcation becomes asymmetric. Therefore, it is expected that limit cycle bifurcates into chaos via period-doubling bifurcation as a parameter is varied. In fact, chaos is confirmed by computer simulation. On the other hand, when the nonlinear characteristic is odd symmetric, the periodic orbit becomes odd symmetric. In this case, it seems that chaos via period-doubling bifurcation is impossible. In practice, however, it is found that the symmetric limit cycle bifurcates into two asymmetric ones and that these bifurcate into chaos via period-doubling bifurcation, respectively. In both cases, our hypothesis that a stable limit cycle must be asymmmetric in order to bifurcate into chaos via period-doubling route is satisfied. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | chaotic oscillator / condition for generating chaos / parameter region generating chaos / symmetric oscillator |
| Paper # | NLP2000-84 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2000/10/14(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Condition for Chaos of the 3rd Order Symmetric Oscillator |
| Sub Title (in English) | |
| Keyword(1) | chaotic oscillator |
| Keyword(2) | condition for generating chaos |
| Keyword(3) | parameter region generating chaos |
| Keyword(4) | symmetric oscillator |
| 1st Author's Name | Masami KURAMITSU |
| 1st Author's Affiliation | Division of Electrical Engineering, Graduated School of Engineering, Kyoto University() |
| 2nd Author's Name | Yuuzi KUROTUTI |
| 2nd Author's Affiliation | Division of Electrical Engineering, Graduated School of Engineering, Kyoto University |
| Date | 2000/10/14 |
| Paper # | NLP2000-84 |
| Volume (vol) | vol.100 |
| Number (no) | 382 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |