| Presentation | 2014-10-17 Arnold tongues generated in an electric circuit Kaoru ITOH, Naohiko INABA, Tetsuro ENDO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this study, we investigate extremely complex bifurcation structures of Arnold tongues generated in a piecewise-constant oscillator that consists of two triangle-wave generating piecewise-constant circuits including a rectangular-wave voltage source. Since the solutions are obtained manually and explicitly, the Lyapunov diagram can be calculated in a similar calculation amount to that obtained in maps. By conducting Lyapunov analysis, the Lyapunov diagram exhibits an extremely complex bifurcation structures of Arnold tongues. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | three-torus / Arnold resonance web / nonlinear dynamics |
| Paper # | CAS2014-78,NLP2014-72 |
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| Conference Information | |
| Committee | CAS |
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| Conference Date | 2014/10/9(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Circuits and Systems (CAS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Arnold tongues generated in an electric circuit |
| Sub Title (in English) | |
| Keyword(1) | three-torus |
| Keyword(2) | Arnold resonance web |
| Keyword(3) | nonlinear dynamics |
| 1st Author's Name | Kaoru ITOH |
| 1st Author's Affiliation | Department of Electronics and Bioinformatics, Meiji University() |
| 2nd Author's Name | Naohiko INABA |
| 2nd Author's Affiliation | Organization for the Strategic Coordination of Reseach and Intellectual Property, Meiji University |
| 3rd Author's Name | Tetsuro ENDO |
| 3rd Author's Affiliation | Department of Electronics and Bioinformatics, Meiji University |
| Date | 2014-10-17 |
| Paper # | CAS2014-78,NLP2014-72 |
| Volume (vol) | vol.114 |
| Number (no) | 249 |
| Page | pp.pp.- |
| #Pages | 5 |
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