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Based on a structured approach to diversity, notably inspired by various forms of diversity of natural origins, Diversity and Non-integer Derivation Applied to System Dynamics provides a study framework to the introduction of the non-integer derivative as a modeling tool. Modeling tools that highlight unsuspected dynamical performances (notably damping performances) in an "integer" approach of mechanics and automation are also included. Written to enable a two-tier reading, this is an essential resource for scientists, researchers, and industrial engineers interested in this subject area.§Table of Contents:§1. From Diversity to Unexpected Dynamic§Performance.§2. The Robustness of Damping.§3. Fractional Differentiation and its Memory.§4. CRONE Suspension Idea.§5. CRONE Control Idea