Simulation of a Generalized Equation for Innovation in Complex Adaptive Systems

Complex Adaptive Systems are known to be amongst the most resilient systems due to their ability to self-organize when faced with challenge. Such self-organization is marked by innovation and this paper simulates a mathematical model of innovation positioned to be at the heart of any complex adaptive system, regardless of scale. Innovation in general involves moving from a basis of negative to positive sources of real-time action and reaction. Sources of innovation are modeled as four distinct sets that research indicates have categorized sustainable organization at the quantum-particle level to the level of civilizations. Further, these four sources of innovation are modeled to themselves exist at four levels of possibility based on the breaking of prevailing patterns. The model of innovation simulated in this paper hence is based on a four-by-four framework of innovation and can bring about a multiple of innovation of up to 18,000x, over 10 years as compared with default system innovation of up to 15x over 10 years when prevailing patterns are allowed to persist.