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Abstract
We present a new model for multi-agent dynamics where each agent is described by its position and body attitude: agents travel at a constant speed in a given direction and their body can rotate around it adopting different configurations. In this manner, the body attitude is described by three orthonormal axes giving an element in [Formula: see text] (rotation matrix). Agents try to coordinate their body attitudes with the ones of their neighbours. In this paper, we give the individual-based model (particle model) for this dynamics and derive its corresponding kinetic and macroscopic equations.
Highlights
In this paper, we model collective motion where individuals or agents are described by their position and body attitude
We present a new model for multi-agent dynamics where each agent is described by its position and body attitude: agents travel at a constant speed in a given direction and their body can rotate around it adopting different configurations
We have presented a new flocking model through body attitude coordination
Summary
We model collective motion where individuals or agents are described by their position and body attitude. To the best of our knowledge, this is the first model that takes into account interactions based on body attitude coordination This has applications in the study of collective motion of animals such as birds and fish and it is a stepping stone to model more complex agents formed by articulated bodies (corpora).[13,14] we present related results in the literature and the structure of the document. Here we deal with the case of self-propelled particles which is ubiquitous in nature It includes, among others, fish schools, flocks of birds, herds[8,9,41]; bacteria[5,47]; human walking behaviour.[36] The interest in studying these systems is to gain understanding on the emergent properties: local interactions give rise to large scale structures in the form of patterns and phase transitions (see the review in Ref. 46).
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