On chaotic aspects of trees

Branching processes such as the solid degradation process have been difficult to analyzed until recently, with the advent of new methods. In particular, the fractal properties of the tree phenomena have been studied, and its chaotic aspects reported based on Taken's reconstruction theorem, which proved that the attractor of the reconstructed system can conserve the original structure. In this work, two kinds of attractors reconstructed based on Taken's reconstruction theorem are discussed. One is the attractors of current pulse data and another is the attractors of the wavelet coefficient of the pulse data analyzed by wavelet transformation.