Chaotic dynamics of the flood series in the Huaihe River Basin for the last 500 years

The Huaihe River Basin is one of the most flood-prone basins in China because it is frequently affected by collapses of the south levee of the Huanghe (Yellow River) over a long period in addition to its transitional climate and poor drainage topography. The flood series in the Huaihe River Basin for the last 500-year period is reconstructed using the ‘Atlas’ of historical recordings and annual hydrological data of the Basin, as well as the rational regional flood indices. The power spectrum structure of the flood series is similar to that of typical chaotic series and the attractor dimension (4.66) is larger than 2 and is a noninteger. Furthermore, chaotic dynamics of the flood series in the Huaihe River Basin with three dimensions and 2nd power is reconstructed according to chaos theory and the inverted theorem of differential equations.