Two definitions of persistence despite perturbations in deterministic models are presented. The first definition, persistence despite frequent small perturbations, is shown to be equivalent to the existence of a positive attractor i.e. an attractor bounded away from extinction. The second definition, persistence despite rare large perturbations, is shown to be equivalent to permanence i.e. a po...

Zbigniew Galias, Josef A. Nossek Abstract In this paper we present the laboratory environment and experimental results of stabilization of periodic orbits in a real implementation of a chaotic three-cell cellular neural network.