摘要
运用混沌理论分析灌溉用水量的演变趋势,通过灌溉用水量序列相空间重构在高维空间中恢复演变规律,考虑时间延迟与嵌入维数的相关性,利用C-C法计算相空间重构参数,通过最大Lyapunov指数来判别系统混沌特性。进行了实例研究,通过不同方法相互补充和验证,结果都说明了灌溉用水量演变存在混沌特性,为灌溉用水量的混沌预测和控制奠定了基础。
Chaos theory is used to analyze the evolvement trend of irrigation water requirement. The moving regulation is resumed in high dimension space through state space reconstruction of irrigation water requirement serials. Considering the correlation of delay time and embedding dimension, C-C method is used to calculating the two parameters of state space reconstruction. The largest Lyapunov exponent is introduced to distinguish the chaotic characteristic. Finally, an example is studied. The largest Lyapunov exponent is calculated by different methods and all results demonstrate that chaos exists in irrigation water requirement evolvement. That establishes a basement for chaotic prediction and control.
出处
《灌溉排水学报》
CSCD
北大核心
2008年第3期56-59,共4页
Journal of Irrigation and Drainage
基金
国家重点基础研究发展计划项目(2003CB415206)
国家自然科学基金项目(50679068)
"十一五"国家高技术研究发展计划(863计划)课题(2006AA06Z342)
关键词
灌溉用水量
混沌演变
相空间重构
LYAPUNOV指数
irrigation water requirement
chaotic evolvement
state space reconstruction
lyapunov exponent