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This skill provides specialized capabilities for understanding the qualitative behavior of differential equations and flows on manifolds. It enables Claude to perform rigorous stability analysis near equilibria and invariant sets, identify long-term global structures, and detect parameter-dependent bifurcations. Designed for researchers and engineers, it integrates with AlgebraicDynamics.jl for compositional modeling and utilizes a GF(3) triadic logic framework to ensure conserved transitions during complex system simulations.
