关键词: 耗散性, 淮河流域, 洪涝变化, 混沌, Lyapunov指数

Abstract: 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.

Key words: dissipation, Huaihe River basin, flood series, chaos, Lyapunov