| Presentation | 2010-03-10 Exponential transient oscillations and their stabilization in a bistable ring of unidirectionally coupled maps Yo HORIKAWA, Hiroyuki KITAJIMA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We study properties of traveling waves and oscillations in a bistable ring of unidirectionally coupled maps. A kinematical model of the traveling waves shows that the duration of transient oscillations increases exponentially with the number of elements when coupling is weak. The probability density function of the duration of oscillations generated under random initial conditions has a power law form. In addition, spatiotemporal noise of intermediate strength increases the duration of oscillations. Further, oscillations are stabilized through period doubling bifurcations or Neimark-Sacker bifurcations as the strength of coupling increases. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Exponential transient / Coupled map lattice / Bistable system / Traveling wave / Power law distribution |
| Paper # | NLP2009-178 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2010/3/2(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) | Exponential transient oscillations and their stabilization in a bistable ring of unidirectionally coupled maps |
| Sub Title (in English) | |
| Keyword(1) | Exponential transient |
| Keyword(2) | Coupled map lattice |
| Keyword(3) | Bistable system |
| Keyword(4) | Traveling wave |
| Keyword(5) | Power law distribution |
| 1st Author's Name | Yo HORIKAWA |
| 1st Author's Affiliation | Faculty of Engineering, Kagawa University() |
| 2nd Author's Name | Hiroyuki KITAJIMA |
| 2nd Author's Affiliation | Faculty of Engineering, Kagawa University |
| Date | 2010-03-10 |
| Paper # | NLP2009-178 |
| Volume (vol) | vol.109 |
| Number (no) | 458 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |