Relationships between the Limit in the Uncoupled and of Predictability and Initial Error Coupled Lorenz Models
- 文件大小:650.98KB
- 浏览次数:
- 发布时间:2014-03-18
本资料包含pdf文件1个,下载需要1积分
In this study, the relationship between the limit of predictability and initial error was investigated using two simple chaotic systems: the Lorenz model, which possesses a single characteristic time scale, and the coupled Lorenz model, which possesses two different characteristic time scales. The limit of predictability is defined here as the time at which the error reaches 95% of its saturation level; nonlinear behaviors of the error growth are therefore involved in the definition of the limit of predictability. Our results show that the logarithmic function performs well in describing the relationship between the limit of predictability and initial error in both models, although the coefficients in the logarithmic function were not constant across the examined range of initial errors. Compared with the Lorenz model, in the coupled Lorenz model in which the slow dynamics and the fast dynamics interact with each other--there is a more complex relationship between the limit of predictability and initial error. The limit of predictability of the Lorenz model is unbounded as the initial error becomes infinitesimally small; therefore, the limit of predictability of the Lorenz model may be extended by reducing the amplitude of the initial error. In contrast, if there exists a fixed initial error in the fast dynamics of the coupled Lorenz model, the slow dynamics has an intrinsic finite limit of predictability that cannot be extended by reducing the amplitude of the initial error in the slow dynamics, and vice versa. The findings reported here reveal the possible existence of an intrinsic finite limit of predictability in a coupled system that possesses many scales of time or motion.
- 1NY 1092-2006 柞蚕一代杂交种
- 2SY/T 6446-2000 油气井射孔弹检验用质量控制靶制作规范
- 3施工方案编制计划表
- 4DB13/T 1478-2011 土壤深松机械作业技术规范
- 5YB/T 5325-2015 黄血盐钠含量的测定方法
- 6《建筑玻璃幕墙结构》课件(同济大学张其林教授)
- 7升华釜CAD图纸
- 8电气工程概预算编制问答_余辉主编
- 9群栋工程外脚手架施工方案
- 10城市污水厂高程图
- 11园林、城市规划专业本科毕业论文(设计类)
- 12下工作辊左轴承座:ZL240G.2D-12cad图纸
- 1348V20AhE-BIKE动力电池成品规格书_中英文_
- 14基于虚拟仪器的液压检测系统设计
- 15惠普家园廉租住房施工组织设计-8wr