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Fractal dimension evolution and spatial replacement dynamics of urban growth
bifurcation chaos fractal dimension Boltzmann’s equation logistical map spatial replacement nonlinear dynamics urban form urban growth
2011/8/29
This paper presents a new perspective of looking at the relation between fractals and chaos by means of cities. Especially, a principle of space filling and spatial replacement is proposed to explain ...
Urban chaos and replacement dynamics in nature and society
bifurcation chaos fractal dimension logistical map replacement dynamics Volterra-Lotka’s model urbanization
2011/8/29
Many growing phenomena in both nature and society can be predicted with sigmoid function. The growth curve of the level of urbanization is a typical S-shaped one, and can be described by using logisti...