complexity-explorables.org - Complexity Explorables | Complexity Explorables

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Complexity Explorables A collection of interactive explorable explanations of complex systems in biology, physics, mathematics, social sciences, epidemiology, ecology and other fields.... Biology Chemistry Ecology Epidemiology Mathematics Network science Neuroscience Physics Social sciences · #Agent based models · #Cellular automata · #Chaotic dynamics · #Collective behavior · #Complex networks · #Cooperation · #Coupled oscillators · #Critical phenomena · #Diffusion · #Dynamical systems · #Epidemics · #Evol

This explorable illustrates one of the most famous and most fundamental models for the emergence of flocking, swarming and synchronized behavior in animal groups. The model was originally published in a 1995 paper by Tamás Vicsek and co-workers and is therefore called the Vicsek-Model . The model can explain why transitions to flocking behavior in groups of animals are often not gradual. Instead, one can expect a sudden emergence of flocking and synchronized movements if a critical density is crossed.

This explorable illustrates network growth based on preferential attachment , a variant of the Barabasi-Albert model that was introduced to capture strong heterogeneities observed in many natural and technological networks. It has become a popular model for scale-free networks in nature.

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