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The Vector Field skill provides a specialized mathematical framework for Claude to understand, simulate, and analyze complex dynamical systems. It utilizes principles from Dynamical Systems Theory and Algebraic Dynamics to characterize phase space behavior, including equilibria, stability, and bifurcations. By integrating with tools like AlgebraicDynamics.jl and adhering to ergodic trit properties (GF(3) conservation), this skill enables sophisticated modeling of physical or computational processes. It is particularly useful for users working with topological computing, complex system simulations, and non-backtracking geodesic pathfinding where state-consistency is critical.
