Publication

Revisiting the Limit Behaviour of ``El Botellon"

Jean-Yves Le Boudec
2012
Reports

Abstract

Emergent phenomena occur due to the pattern of non-linear and distributed local interactions between the elements of a system over time. An example of such phenomena is the spontaneous self-organisation of drinking parties in the squares of cities in Spain, also known as El Botellon". The emergence of self-organisation was shown to depend critically on the chat-probability, i.e. the probability that a person finds someone to chat with in a square of the city. We consider a variant of El Botellon" in which this probability is instead defined based on the socialisation level. For this variant it is possible to derive the mean field limit and perform a stability analysis of the related ODE. We also provide a process algebraic model of ``El Botellon" and show that the phase plots of the ODE derived from the latter correspond very well to the mean field limit even for finite though relatively large populations.

Official source

https://infoscience.epfl.ch/entities/publication/a5a08f00-7e2e-4da3-b2e7-879dba7bf485

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Jean-Yves Le Boudec
2012
Reports

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/a5a08f00-7e2e-4da3-b2e7-879dba7bf485

About this result

Related concepts (24)

Self-organization

Self-organization, also called spontaneous order in the social sciences, is a process where some form of overall order arises from local interactions between parts of an initially disordered system. The process can be spontaneous when sufficient energy is available, not needing control by any external agent. It is often triggered by seemingly random fluctuations, amplified by positive feedback. The resulting organization is wholly decentralized, distributed over all the components of the system.

Self-organized criticality

Self-organized criticality (SOC) is a property of dynamical systems that have a critical point as an attractor. Their macroscopic behavior thus displays the spatial or temporal scale-invariance characteristic of the critical point of a phase transition, but without the need to tune control parameters to a precise value, because the system, effectively, tunes itself as it evolves towards criticality. The concept was put forward by Per Bak, Chao Tang and Kurt Wiesenfeld ("BTW") in a paper published in 1987 in Physical Review Letters, and is considered to be one of the mechanisms by which complexity arises in nature.

Nonlinear system

In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists since most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems.