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Emergence of self‐similar tree network organization
Authors:Kyungrock Paik  Praveen Kumar
Institution:Environmental Hydrology and Hydraulic Engineering, Department of Civil and Environmental Engineering, University of Illinois, Urbana, Illinois 61801
Abstract:The self‐similar tree topology in open dissipative systems is formed as a result of self‐organization and found in various examples, such as river networks, blood vessels, vascular organizations in plants, and even lightning. It is generally assumed that the tree organization is a result of a dynamic process that minimizes the dissipation of energy. Here, we argue that inherent randomness is a sufficient condition for the generation of tree patterns under evolutionary dynamics and the decrease of energy expenditure is not the cause but a consequent signature. © 2008 Wiley Periodicals, Inc. Complexity, 13: 30–37, 2008
Keywords:landscape evolution  complex networks  self‐organization  pattern formation
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