Drawing inspiration from social interactions in nature, the field of swarm intelligence has presented a promising approach to the design of complex systems consisting of numerous, usually homogeneous, simple parts, to solve a wide variety of problems. Like cellular automata, swarm-intelligence...

Mexican wave first widely broadcasted during the 1986 World Cup held in Mexico, is a human wave moving along the stands of stadiums as one section of spectators stands up, arms lifting, then sits down as the next section does the same. Here we use variants of models originally developed for the...

On the basis of fundamental principles of the Vicsek model and the leader–follower model, we develop an extended evacuation model of self-propelled particles system considering movable exits, and then propose effective strategies of self-organization evacuating from an enclosed space. It is...

We present a numerical method that allows a formation of communicating agents to target the boundary of a time-dependent concentration by following a time-dependent concentration gradient. The algorithm motivated by [3,1], allows the agents to move in space in a non-stationary environment. Our...