Sidebranch Structures of Dendritic Patterns in a Coupled Map Lattice Model

Details Sidebranch Structures of Dendritic Patterns in a Coupled Map Lattice Model Sidebranch Structures of Dendritic Patterns in a Coupled Map Lattice Model

2004-05-17

arxiv.org/abs/nlin/0405045v1

Nonlinear Sciences

Pattern Formation and Solitons

17 pages, 7 figures

Scientific paper

10.1143/JPSJ.73.1723

Dendrites with developed sidebranches are numerically studied with a coupled map lattice model. The competitive dynamics among sidebranches determines the shape of the envelope. The envelope has a parabolic shape near the tip of the dendrite and the envelope angle with respect to the main branch increases up to 45$^{\circ}$ finally. In an intermediate region, the envelope grows roughly in a power law, however, the exponent increases gradually as a function of the distance from the tip. The competitive dynamics among many branches is also observed in a unidirectional growth from a linear seed, and it is compared with the competitive dynamics of sidebranches.

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