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The Lyapunov Function skill empowers Claude to perform advanced stability analysis for complex dynamical systems and differential equations. By evaluating scalar functions that decrease along trajectories, it allows for the precise identification of sinks, absorbers, and invariant sets. This skill is particularly useful for researchers and engineers working with AlgebraicDynamics.jl, providing a framework for triadic composition and non-backtracking geodesic traversal to ensure robust, non-repeating system analysis within topological computing environments.
