We consider a coarse-grained description of a collection of self-propelled particles given by hydrodynamic equations for the density and polarization fields. We find that the ordered moving or flocking state of the system is unstable to spatial fluctuations beyond a threshold set by the self-propulsion velocity of the individual units. In this region, the system organizes itself into an inhomog...

We present a global existence theory for strong solution to the Cucker–Smale–Navier–Stokes system in a periodic domain, when initial data is sufficiently small. To model interactions between flocking particles and an incompressible viscous fluid, we couple the kinetic Cucker–Smale model and the incompressible Navier–Stokes system using a drag force mechanism that is responsible for the global f...

In this paper, we study swarm intelligence phenomena using the logistic multi-agent system model (LMAS). This model derives from the “coupled map lattice” family of models, which is usually considered in the field of complex systems. After recalling the fact that the LMAS enables simulating flocking phenomena in a self-organized way, we study its adaptive capabilities by applying it to a predat...

This article analyses a flocking algorithm that was developed specifically for small and simple swarm robots. It is similar to traditional flocking algorithms for swarm robots, however it does not need communication nor global information. Its only requirements are at least 4 circumferential distance sensors which can have very limited range. This is possible because our algorithm generates eme...

Many different animals, including birds and fish, exhibit a collective behavior known as flocking. Flocking behavior is believed by biologists to emerge from relatively simple local control rules utilized by each individual in a flock. Specifically, each individual adjusts its behavior based on the behaviors of its closest neighbors. In our work we consider the possibility of adding a small set...

We propose novel distributed exponentially-converging control frameworks for flocking and centroid trajectory tracking of multiple thrust-propelled vehicles (TPVs), which consist of the under-actuated translation dynamics on E(3) with one-dimensional thrust-force input and the fully-actuated attitude kinematics on SO(3) with angular-rates inputs; and evolves on a strongly-connected, yet, balanc...

We analyze the coordinated motion of a group of nonholonomic vehicles that are controlled in a distributed fashion to exhibit flocking behavior. This behavior emerges from aggregating the control actions of all group members; it is not imposed by some centralized control scheme. Each vehicle is locally controlled by a combination of a potential field force and an alignment force. The former con...

The three boids rules of alignment, separation and cohesion, introduced by Reynolds to recreate flocking behaviour have become a well known standard to create swarm behaviour. In this paper we want to demonstrate how similar flocking behaviour can be created by a local, agent based model, following a principle of information maximisation. The basis for our model is an extension of Vergassola’s ...