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The Dynamical System Functor skill provides a formal categorical framework for understanding the evolution of phase spaces over time. By leveraging dynamical systems theory and algebraic structures, this skill enables Claude to analyze local behavior near equilibria, predict global long-term dynamics, and evaluate parameter-dependent bifurcations. It is specifically designed for complex modeling tasks involving differential equations, resource-sharing machines, and topological computing, integrating seamlessly with tools like AlgebraicDynamics.jl and GF(3) triadic composition principles.
