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Resilience modeling by means of a set of recursive functions

This paper presents a computational framework to approach the resilience properties of the systems in many different domains. The proposal models elementary behaviors of the systems by means of a set of recursive functions defined by a few parameters. The parameter values determine wide intervals that characterize the behavioral patterns. The proposal provides a theoretical model of resilience related to the capability of a system to maintain its own pattern by displaying only minor changes when the parameter values of the model vary inside the intervals. This model lays out two powerful design principles for resilience issues, which are the parameterized form of the function and its recursive calculation. The model has been successfully applied to the study of well known system archetypes.