| Presentation | 2014-03-11 On the Arnold resonance web and Chenciner bubbles in a coupled delayed logistic map Munehisa SEKIKAWA, Naohiko INABA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This study analyzes an Arnold resonance web, which includes complicated quasi-periodic bifurcations, for a coupled delayed logistic map. The map can exhibit a two-dimensional invariant torus (2D IT), which corresponds to a three-dimensional torus in vector fields. Numerous one-dimensional invariant closed curves (1D ICCs), which correspond to two-dimensional tori in vector fields, exist in a very complicated but reasonable manner inside a 2D IT-generating region. Such quasi-periodic entrainment region is called Arnold resonance web. In the coupled map, periodic solutions emerge at the intersections of two different thin 1D ICC-generating regions, because all three independent-frequency components of the 2D IT become rational at the intersections. The periodic-solution-generating regions observed at the intersections of two thin 1D ICC-generating regions could be Chenciner bubbles. According to the bifurcation analysis, there exists two bifurcation boundaries lead from Chenciner bubbles to ICCs. One is a saddle-node bifurcation and the other is a Neimark-Sacker bifurcation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | High-dimensional torus / Lyapunov analysis / Arnold resonance web / Chenciner bubbles |
| Paper # | NLP2013-189 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2014/3/3(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| 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) | On the Arnold resonance web and Chenciner bubbles in a coupled delayed logistic map |
| Sub Title (in English) | |
| Keyword(1) | High-dimensional torus |
| Keyword(2) | Lyapunov analysis |
| Keyword(3) | Arnold resonance web |
| Keyword(4) | Chenciner bubbles |
| 1st Author's Name | Munehisa SEKIKAWA |
| 1st Author's Affiliation | Faculty of Engineering, Utsunomiya University() |
| 2nd Author's Name | Naohiko INABA |
| 2nd Author's Affiliation | Organization for the Strategic Coordination of Research and Intellectual Property, Meiji University |
| Date | 2014-03-11 |
| Paper # | NLP2013-189 |
| Volume (vol) | vol.113 |
| Number (no) | 486 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |