Pulse replications and spatially differentiated structure formation in one-dimensional lattice dynamical system

Network structure formation in pulsating particle populations

Pattern formations in populations of "pulsating particles" which can autonomously vary their volumes were investigated. It was found that clusters of pulsating particles whose pulsation frequencies depend on the number of other particles in the vicinity form the following dynamical network structures: (i) void type networks exhibiting large voids, and (ii) branching type networks consisting of individual branches. Such global structures are formed through the annihilation and creation of local structures in the particle populations induced by tug-of-war-like interactions among them.