| Presentation | 2002/12/13 Transitional Dynamics and Chaos in Coupled Oscillator Systems Yuhki ARUGA, Tetsuro ENDO, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper the behavior of the double-mode oscillation in two inductance-coupled oscillators with hard nonlinearity with the increase of ε (=degree of nonlinearity), is investigated. Namely, when ε is increased, the two frequency components tends to adjust themselves to be a periodic solution. In particular, the double-mode oscillation just before pull-in is achieved, presents alternative switching phenomenon between two symmetrical solutions. This can be considered as a kind of the transitional dynamics related to the saddle-node bifurcation, and we elucidate its mechanism by calculating the unstable manifolds of these degenerate saddles. As a result, it is found that the reason of this switching phenomenon is due to the heteroclinic cycle connecting the degenerate saddles at the aligned saddle-node bifurcation point. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | transitional dynamics / saddle-node bifurcation / heteroclinic cycle / symmetry of solutions / chaos |
| Paper # | NLP2002-88 |
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| Committee | NLP |
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| Conference Date | 2002/12/13(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) | Transitional Dynamics and Chaos in Coupled Oscillator Systems |
| Sub Title (in English) | |
| Keyword(1) | transitional dynamics |
| Keyword(2) | saddle-node bifurcation |
| Keyword(3) | heteroclinic cycle |
| Keyword(4) | symmetry of solutions |
| Keyword(5) | chaos |
| 1st Author's Name | Yuhki ARUGA |
| 1st Author's Affiliation | Department of Electronics and communication, Meiji University() |
| 2nd Author's Name | Tetsuro ENDO |
| 2nd Author's Affiliation | Department of Electronics and communication, Meiji University |
| Date | 2002/12/13 |
| Paper # | NLP2002-88 |
| Volume (vol) | vol.102 |
| Number (no) | 536 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |