| 噪声相互关联时间对Logistic系统亚稳态稳定性的影响 |
| |
| 引用本文： | 杨林静,戴祖诚.噪声相互关联时间对Logistic系统亚稳态稳定性的影响[J].物理学报,2012,61(10):100509-100509. |
| |
| 作者姓名： | 杨林静 戴祖诚 |
| |
| 作者单位： | 1. 云南中医学院药学院,昆明,650500
2. 昆明学院物理科学技术系,昆明,650031 |
| |
| 基金项目： | 云南省教育厅科学基金(批准号: 2010Y503)资助的课题. |
| |
| 摘 要： | 研究了噪声交叉关联时间对Logistic 系统亚稳态稳定性的影响.利用最陡下降法导出了系统亚稳态到稳态的平均第一通过时间的表达式. 数值计算结果表明:内噪声、外噪声、 内外噪声的相互关联时间削弱了亚稳态的稳定性,而内外噪声的关联增加了亚稳态的稳定性.
|
| 关 键 词： | Logistic模型 噪声 相互关联时间 平均首通时间 |
| 收稿时间： | 2011-11-21 |
The effects of correlated time between noises on stability of unstable state in Logistic system |
| |
| Yang Lin-Jing,Dai Zu-Cheng.The effects of correlated time between noises on stability of unstable state in Logistic system[J].Acta Physica Sinica,2012,61(10):100509-100509. |
| |
| Authors: | Yang Lin-Jing Dai Zu-Cheng |
| |
| Institution: | 1. College of Chinese Medicine, Yunnan University of Traditional Chinese Medicine, Kunming 650500, China;2. Department of Physics Science and Technology, Kunming University, Kunming 650031, China |
| |
| Abstract: | The effects of correlated time between noises on the stability of unstable state in the Logistic system are investigated. Using the steepest-descent approximation, the analytic expression for the mean first-passage time from unstable state to stable state is derived. The numerically calculated results indicate that the additive noise, the multiplicative noise and the correlated time between the additive and the multiplicative noises weaken the stability of unstable state, but the correlation between the additive and the multiplicative noises enhances the stability of unstable state. |
| |
| Keywords: | logistic model noise correlated time between noises mean first-passage time |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《物理学报》浏览原始摘要信息 |
| 点击此处可从《物理学报》下载免费的PDF全文 |
