%0 Journal Article
%T Dissipation of the flood series in the Huaihe River basin
淮河流域洪涝变化的耗散性
%A ZHOU Yin kang
%A WANG La chun
%A XU You peng
%A ZHANG Jie
%A
周寅康
%A 王腊春
%J 地理研究
%D 2000
%I
%X Within the field of chaos theory, several methods for the analysis of complex dynamical system have been proposed recently. In the light of these ideas and methods, we have analyzed the fractal and chaotic characteristics of the flood series in the Huaihe River Basin. The present paper follows our preceding research, quantitatively analyses dissipation of the flood series in the Huaihe River Basin be means of Lyapunov exponent spectrum with illustrates the average convergence and/or divergence near trajectories in phase space. The research shows that the Lyapunov exponent of the flood series in the Huaihe River Basin has positive and negative exponents, and zero as well. Furthermore, the total Lyapunov exponents is less than zero. That quantitatively demonstrates the flood system of the Huaihe River Basin is dissipative according to the dissipative theory by Prigogine and chotic characteristic according to the chaotic theory.The quantitative analysis to the dissipation of the flood series in the Huaihe River Basin demonstrates that the quantitative and nonlinear study in geographical system has begun, although geographical system is an open and very complex one. Apparently, it has positive significance to the quantitative and nonlinear study of geographical system.
%K dissipation
%K Huaihe River basin
%K flood series
%K chaos
%K Lyapunov
耗散性
%K 淮河流域
%K 洪涝变化
%K 混沌
%K Lyapunov指数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=869B153A4C6B5B85&jid=C0C75E88BA2EE501C8298896F64A711F&aid=6D83F6B1DD7B13EA&yid=9806D0D4EAA9BED3&vid=2A8D03AD8076A2E3&iid=38B194292C032A66&sid=CAA7BAE04CB631A1&eid=4133DDB79B497495&journal_id=1000-0585&journal_name=地理研究&referenced_num=2&reference_num=5