概要
The Hopf skill provides specialized capabilities for Claude to analyze, model, and implement Hopf bifurcations within the framework of dynamical systems theory. It leverages mathematical principles such as phase space analysis, stability robustness, and parameter-dependent qualitative changes to understand how periodic oscillations emerge from steady-state equilibria. Optimized for use with AlgebraicDynamics.jl and integrating GF(3) triadic composition, this skill is essential for researchers and engineers working on non-linear dynamics, control theory, and complex scientific simulations where understanding long-term limit sets is critical.
