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Optimal box-covering algorithm for fractal dimension of complex networks
Optimal box-covering algorithm fractal dimension complex networks Computational Physics
2012/4/24
The self-similarity of complex networks is typically investigated through computational algorithms the primary task of which is to cover the structure with a minimal number of boxes. Here we introduce...
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 ...
A procedure to Estimate the Fractal Dimension of Waveforms
Fractal Dimension of Waveforms time zero
2010/4/6
A method is described for calculating the approximate fractal dimension from a set of N values y sampled from a waveform between time zero and t. The waveform was subjected to a double linear transfor...