概要
The Synchronization skill provides a robust framework for Claude to manage and analyze the qualitative behavior of differential equations and flows on manifolds. It specializes in dynamical systems theory, offering tools for stability analysis, bifurcation detection, and long-term limit set evaluation. By integrating with AlgebraicDynamics.jl and utilizing GF(3) triadic composition, this skill allows for the precise modeling of resource-sharing machines and complex topological computations. It is particularly useful for engineers and researchers working on ergodic systems and non-backtracking geodesic traversals where state-space integrity and Möbius squarefree conditions are critical.
