| Hexagonal Standing-Wave Patterns in Periodically Forced Reaction-Diffusion Systems |
| |
| 引用本文： | 张可 王宏利 谯春 欧阳颀. Hexagonal Standing-Wave Patterns in Periodically Forced Reaction-Diffusion Systems[J]. 中国物理快报, 2006, 23(6): 1414-1417 |
| |
| 作者姓名： | 张可 王宏利 谯春 欧阳颀 |
| |
| 作者单位： | School of Physics, and State Key Laboratory for Mesoscopic Physics, Peking University, Beijing 100871 |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10204002. |
| |
| 摘 要： | The periodically forced spatially extended Brusselator is investigated in the oscillating regime. The temporal response and pattern formation within the 2：1 frequency-locking band where the system oscillates at one half of the forcing frequency are examined. An hexagonal standing-wave pattern and other resonant patterns are observed. The detailed phase diagram of resonance structure in the forcing frequency and forcing amplitude parameter space is calculated. The transitions between the resonant standing-wave patterns are of hysteresis when control parameters are varied, and the presence of multiplicity is demonstrated. Analysis in the framework of amplitude equation reveals that the spatial patterns of the standing waves come out as a result of Turing bifurcation in the amplitude equation.
|
| 关 键 词： | 六边形固波模式 周期性强迫 反作用扩散系统 扩展布鲁塞尔模型 振幅方程 |
| 收稿时间： | 2006-03-11 |
| 修稿时间： | 2006-03-11 |
Hexagonal Standing-Wave Patterns in Periodically Forced Reaction--Diffusion Systems |
| |
| ZHANG Ke,WANG Hong-Li,QIAO Chun,OUYANG Qi. Hexagonal Standing-Wave Patterns in Periodically Forced Reaction--Diffusion Systems[J]. Chinese Physics Letters, 2006, 23(6): 1414-1417 |
| |
| Authors: | ZHANG Ke WANG Hong-Li QIAO Chun OUYANG Qi |
| |
| Affiliation: | School of Physics, and State Key Laboratory for Mesoscopic Physics, Peking University, Beijing 100871 |
| |
| Abstract: | The periodically forced spatially extended Brusselator is investigated in the oscillating regime. The temporal response and pattern formation within the 2:1 frequency-locking band where the system oscillates at one half of the forcing frequency are examined. An hexagonal standing-wave pattern and other resonant patterns are observed. The detailed phase diagram of resonance structure in the forcing frequency and forcing amplitude parameter space is calculated. The transitions between the resonant standing-wave patterns are of hysteresis when control parameters are varied, and the presence of multiplicity is demonstrated. Analysis in the framework of amplitude equation reveals that the spatial patterns of the standing waves come out as a result of Turing bifurcation in the amplitude equation. |
| |
| Keywords: | 05.45.Xt 82.40.Ck |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理快报》浏览原始摘要信息 |
|
点击此处可从《中国物理快报》下载免费的PDF全文 |
