title: Evolving three-dimensional cellular automata to perform a quasiperiod-3 collective behavior task.
abstract: We present results from experiments in which a genetic algorithm (GA) is used to develop three-dimensional cellular automata (CA) to perform a nontrivial collective behavior task. Under a fitness function that is defined as an averaged area in the iterative map, the GA detects a CA rule with quasiperiod-3 (QP3) collective behavior and another with period-3. For rules with QP3 the time autocorrelation function decays as a power law with an exponent of -1/2, according to the predictions of the Kardar-Parisi-Zhang equation, and a space-time diagram reveals the existence of propagating structures inside the system.
authors.affiliation: Departamento de Física de la Materia Condensada, Universidad de Sevilla, P. O. Box 1065, 41080-Seville, Spain.
authors.forename: F
authors.initials: F
authors.lastname: Jiménez-Morales