标题： 基于混沌与耗散结构理论的河流过程非线性动力学过程 显示英文标题

标题： Nonlinear dynamic Process of Fluvial Process Based on Theories of Chaos and Dissipative Structure

摘要： 河流床演变的分析是进行河流整治、防洪工程建设和水利枢纽调度与应用决策的重要基础。 从河流非线性动力系统的角度，本文深入理解了河流床演变和发展中的无序与有序现象。 利用混沌理论，合法地使用相图来识别河流时间序列的混沌，定量计算分形维数以计算混沌的特征量。 结合耗散结构理论，理解演变和发展中的有序性，并通过最小熵产生原理分析河流自组织的内部机制。 引入河流信息熵来识别河段的局部冲刷和淤积模式。 结果表明，三个河段的径流和输沙均呈现混沌特性，信息熵随时间在一定范围内波动，并逐渐减小，即河段整体向有序方向发展。 然而，三门峡河段的混沌和无序现象最为突出，这可能是由于水库建设导致输沙不平衡的影响，此处的河滩槽冲刷和淤积变化受到显著影响，随着护岸工程的发展，情况已有所改善。 显示英文摘要

摘要： The analysis of riverbed evolution is an important basis for decision-making on river improvement, flood control project construction, and water conservancy hub dispatching and application. From the perspective of river nonlinear dynamic system, this paper deeply understands the disorder and order in the evolution and development of river bed. Using the chaos theory, the phase diagram is legally used to identify the chaos of the river time series, and the fractal dimension is quantitatively calculated to calculate the characteristic quantities of chaos. Combined with the theory of dissipative structure, the orderliness in evolution and development is understood, and the internal mechanism of river self-organization is analyzed by the principle of minimum entropy generation. The river information entropy is introduced to identify the local scouring and silting pattern of the river section. The results show that the runoff and sediment transport in the three sections are chaotic, and the information entropy fluctuates with a certain range with time, and develops to a decreasing size, that is, the river section as a whole develops in an orderly direction. However, the chaos and disorder of the Sanmenxia section are the most prominent, which may be affected by the imbalance of sediment transport caused by the construction of the reservoir, and the change of beach trough scouring and silting here is significantly affected, and the situation has been improved with the development of bank protection projects.