npx skills add majiayu000/claude-skill-registry --skill saddle-node --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Saddle-node **Trit**: -1 (MINUS) **Domain**: Dynamical Systems Theory **Principle**: Bifurcation creating/destroying equilibrium pair ## Overview Saddle-node is a fundamental concept in dynamical systems theory, providing tools for understanding the qualitative behavior of differential equations and flows on manifolds. ## Mathematical Definition ``` SADDLE-NODE: Phase space × Time → Phase space ``` ## Key Properties 1. **Local behavior**: Analysis near equilibria and invariant sets 2. **Global structure**: Long-term dynamics and limit sets 3. **Bifurcations**: Parameter-dependent qualitative changes 4. **Stability**: Robustness under perturbation ## Integration with GF(3) This skill participates in triadic composition: - **Trit -1** (MINUS): Sinks/absorbers - **Conservation**: Σ trits ≡ 0 (mod 3) across skill triplets ## AlgebraicDynamics.jl Connection ```julia using AlgebraicDynamics # Saddle-node as compositional dynamical system # Implements oapply for resource-sharing machines ``` ## Related Skills - equilibrium (trit 0) - stability (trit +1) - bifurcation (trit +1) - attractor (trit +1) - lyapunov-function (trit -1) --- **Skill Name**: saddle-node **Type**: Dynamical Systems
- Overview
- Mathematical Definition
- Key Properties
- Integration with GF(3)
- AlgebraicDynamics.jl Connection
- Related Skills
- Non-Backtracking Geodesic Qualification
What does the saddle-node skill do?
Bifurcation creating/destroying equilibrium pair
How do I install it?
Run `npx skills add majiayu000/claude-skill-registry --skill saddle-node --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From majiayu000/claude-skill-registry, a repository with 534 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.