| Presentation | 2014-10-17 Bifurcation structure of Chenciner bubbles Munehisa SEKIKAWA, Naohiko INABA, Tetsuro ENDO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We investigate bifurcations generated in a coupled delayed logistic map. Since a delayed logistic map generates an invariant one-torus (IT_1) corresponding to a two-torus in vector fields, a coupled delayed logistic map exhibits an invariant two-torus (IT_2) corresponding to a three-torus in vector fields. In IT_2-generating parameter regions, IT_1-generating regions extend to many directions like a web, which is called an Arnol'd resonance web. In this study, we investigate the bifurcation structure of Chenciner bubbles, which are complete synchronization regions in the parameter space, and illustrate a complete bifurcation set for a Chenciner bubble. The boundary of this Chenciner bubble is surrounded by saddle-node bifurcation curves and Neimark-Sacke bifurcation curves. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Invariant two-torus / Arnol'd resonance web / Chenciner bubbles |
| Paper # | CAS2014-77,NLP2014-71 |
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| Conference Information | |
| Committee | CAS |
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| Conference Date | 2014/10/9(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| 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) | Bifurcation structure of Chenciner bubbles |
| Sub Title (in English) | |
| Keyword(1) | Invariant two-torus |
| Keyword(2) | Arnol'd resonance web |
| Keyword(3) | Chenciner bubbles |
| 1st Author's Name | Munehisa SEKIKAWA |
| 1st Author's Affiliation | Department of Mechanical and Intelligent Engineering, Utsunomiya 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 # | CAS2014-77,NLP2014-71 |
| Volume (vol) | vol.114 |
| Number (no) | 249 |
| Page | pp.pp.- |
| #Pages | 4 |
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