| Presentation | 2013-05-27 Invariant torus and Arnold tongue in a discrete dynamics Munehisa SEKIKAWA, Sumito FUJIWARA, Naohiko INABA, Tetsuya YOSHINAGA, Ken'ichi FUJIMOTO, Tetsuro ENDO, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | An invariant closed curve (ICC) and an invariant torus (IT) have been a subject of intense research in recent years. The two-parameter bifurcation diagram in the region generating IT is investigated in this report. We can observe that Arnold tongue bifurcates to an ICC-torus Arnold tongue via a Neimark-Sacker bifurcation. Another boundary between a periodic solution generating region and an ICC generating region is a saddle-node bifurcation, and we found that there exist two codimension-two bifurcation points where the four corners of an IT, an ICC generating region, an ICC-Arnold tongue and Arnold tongue converge. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | invariant torus / invariant closed curve / Arnold tongues / nonlinear dynamics |
| Paper # | NLP2013-16 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2013/5/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Invariant torus and Arnold tongue in a discrete dynamics |
| Sub Title (in English) | |
| Keyword(1) | invariant torus |
| Keyword(2) | invariant closed curve |
| Keyword(3) | Arnold tongues |
| Keyword(4) | nonlinear dynamics |
| 1st Author's Name | Munehisa SEKIKAWA |
| 1st Author's Affiliation | Institute of Industrial Science, the University of Tokyo() |
| 2nd Author's Name | Sumito FUJIWARA |
| 2nd Author's Affiliation | HAMAMATSU, Japan |
| 3rd Author's Name | Naohiko INABA |
| 3rd Author's Affiliation | Organization for the Strategic Coordination of Reseach and Intellectual Property, Meiji University |
| 4th Author's Name | Tetsuya YOSHINAGA |
| 4th Author's Affiliation | Institute of Health Biosciences, The University of Tokushima |
| 5th Author's Name | Ken'ichi FUJIMOTO |
| 5th Author's Affiliation | Institute of Health Biosciences, The University of Tokushima |
| 6th Author's Name | Tetsuro ENDO |
| 6th Author's Affiliation | Department of Electronics and Bioinformatics, Meiji University |
| Date | 2013-05-27 |
| Paper # | NLP2013-16 |
| Volume (vol) | vol.113 |
| Number (no) | 69 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |