Abstract
The formation of clusters in Helbing’s improved model is studied by an iterative method. It is shown that after certain density we will always obtain a density profile which has the structure of a soliton. Its characteristics such as the amplitude and width are determined by the parameters in the model.
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References
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Velasco, R.M., Saavedra, P. (2010). Clusters in the Helbing’s Improved Model. In: Bandini, S., Manzoni, S., Umeo, H., Vizzari, G. (eds) Cellular Automata. ACRI 2010. Lecture Notes in Computer Science, vol 6350. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15979-4_70
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DOI: https://doi.org/10.1007/978-3-642-15979-4_70
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