The combined effect of attraction and orientation zones in 2D flocking models
Authored by Tarras Iliass, Dorilson Cambui
Date Published: 2016
DOI: 10.1142/s0217979216500028
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Mathematical description
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Abstract
In nature, many animal groups, such as fish schools or bird flocks, clearly display structural order and appear to move as a single coherent
entity. In order to understand the complex motion of these systems, we
study the Vicsek model of self-propelled particles (SPP) which is an
important tool to investigate the behavior of collective motion of live
organisms. This model reproduces the biological behavior patterns in the
two-dimensional (2D) space. Within the framework of this model, the
particles move with the same absolute velocity and interact locally in
the zone of orientation by trying to align their direction with that of
the neighbors. In this paper, we model the collective movement of SPP
using an agent-based model which follows biologically motivated
behavioral rules, by adding a second region called the attraction zone, where each particles move towards each other avoiding being isolated.
Our main goal is to present a detailed numerical study on the effect of
the zone of attraction on the kinetic phase transition of our system. In
our study, the consideration of this zone seems to play an important
role in the cohesion. Consequently, in the directional orientation, the
zone that we added forms the compact particle group. In our simulation, we show clearly that the model proposed here can produce two collective
behavior patterns: torus and dynamic parallel group. Implications of
these findings are discussed.
Tags
Animal groups
System
Transition
Fish schools