关于
The Equilibrium skill provides specialized capabilities for analyzing dynamical systems theory directly within Claude. It enables the identification of fixed points—states where the rate of change is zero—allowing users to explore qualitative behaviors of differential equations and flows on manifolds. By integrating with AlgebraicDynamics.jl and utilizing GF(3) triadic composition, it supports advanced modeling of resource-sharing machines and complex topological systems. It is particularly useful for researchers and engineers working with bifurcations, stability analysis, and global system structures where mathematical precision and non-backtracking geodesic qualification are required.