| Presentation | 2011-05-27 Possibility for the existence of 3-torus Arnold tongue Daisuke IWASAKI, Munehisa SEKIKAWA, Naohiko INABA, Tetsuro ENDO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this study, we discuss the scenario for bifurcation mechanism of two-torus, three-torus and fourtorus. Since the torus is not a chaotic state, we are convinced that clearly characterized bifurcation boundaries exist between these torus. Sekikawa et al. discovered a noteworthy bifurcation structure that they named as two-torus Arnold tongue in which two-torus generating regions exist inside a three-torus generating regions just like Arnold tongue. We classify the possible bifurcation phenomena that occur at the boundaries between two-torus genarationg regions, three-torus generating regions and the four-torus generating regions and discuss the possibility of the generating of three-torus Arnold tongue, and carry out lyapunov analysis 4LC resonant circuit. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Lyapunov analysis / 2-torus / 3-torus / hyperchaos |
| Paper # | NLP2011-14 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2012/3/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| 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) | Possibility for the existence of 3-torus Arnold tongue |
| Sub Title (in English) | |
| Keyword(1) | Lyapunov analysis |
| Keyword(2) | 2-torus |
| Keyword(3) | 3-torus |
| Keyword(4) | hyperchaos |
| 1st Author's Name | Daisuke IWASAKI |
| 1st Author's Affiliation | Department of Electronics and Bioinformatics, Meiji University() |
| 2nd Author's Name | Munehisa SEKIKAWA |
| 2nd Author's Affiliation | IIS, the University of Tokyo |
| 3rd Author's Name | Naohiko INABA |
| 3rd Author's Affiliation | Meiji University Organization for the Strategic Coordination of Reseach and Intellectual Property |
| 4th Author's Name | Tetsuro ENDO |
| 4th Author's Affiliation | Department of Electronics and Bioinformatics, Meiji University |
| Date | 2011-05-27 |
| Paper # | NLP2011-14 |
| Volume (vol) | vol.111 |
| Number (no) | 498 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |