| Presentation | 2016-12-13 Arnol'd resonance web and Chenciner bubbles in 3-dimensional piecewise-constant oscillator Tri Quoc Truong, Tadashi Tsubone, Munehisa Sekikawa, Naohiko Inaba, Tetsuro Endo, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We analyze quasiperiodic bifurcation of a 3-dimensional piecewise-constant oscillator (PWCO).Because vector fields of PWCO are piecewise-constants, it is relatively easy to perform rigorous analysis. By using a calculation algorithm for deriving Lyapunov exponents in autonomous PWCOs proposed in previous study,we conducted two-parameter Lyapunov diagrams. According to the numerical results, Arnol'd resonance web and the hysteresis phenomenon is observed.It is clearly showed that the hysteresis phenomenon erodes the Chenciner bubbles. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Piecewise-constant oscillator / quasiperiodic / Arnol'd resonance web / Chenciner bubbles / Lyapunov analysis |
| Paper # | NLP2016-93 |
| Date of Issue | 2016-12-05 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2016/12/12(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Chukyo Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Hisato Fujisaka(Hiroshima City Univ.) |
| Vice Chair | Masaharu Adachi(Tokyo Denki Univ.) |
| Secretary | Masaharu Adachi(Konan Univ.) |
| Assistant | Hiroyuki Asahara(Okayama Univ. of Science) / Toshihiro Tachibana(Shonan Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems |
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| Language | ENG-JTITLE |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Arnol'd resonance web and Chenciner bubbles in 3-dimensional piecewise-constant oscillator |
| Sub Title (in English) | |
| Keyword(1) | Piecewise-constant oscillator |
| Keyword(2) | quasiperiodic |
| Keyword(3) | Arnol'd resonance web |
| Keyword(4) | Chenciner bubbles |
| Keyword(5) | Lyapunov analysis |
| 1st Author's Name | Tri Quoc Truong |
| 1st Author's Affiliation | Nagaoka University of Technology(Nagaoka Univ. of Tech.) |
| 2nd Author's Name | Tadashi Tsubone |
| 2nd Author's Affiliation | Nagaoka University of Technology(Nagaoka Univ. of Tech.) |
| 3rd Author's Name | Munehisa Sekikawa |
| 3rd Author's Affiliation | Utsunomiya University(Utsunomiya Univ.) |
| 4th Author's Name | Naohiko Inaba |
| 4th Author's Affiliation | Meiji University(Meiji Univ.) |
| 5th Author's Name | Tetsuro Endo |
| 5th Author's Affiliation | Meiji University(Meiji Univ.) |
| Date | 2016-12-13 |
| Paper # | NLP2016-93 |
| Volume (vol) | vol.116 |
| Number (no) | NLP-353 |
| Page | pp.pp.49-54(NLP), |
| #Pages | 6 |
| Date of Issue | 2016-12-05 (NLP) |