From asi
Analyzes saddle-node bifurcations creating/destroying equilibrium pairs in dynamical systems theory. Covers phase space behavior, stability, GF(3) integration, and Julia AlgebraicDynamics.jl examples.
npx claudepluginhub plurigrid/asi --plugin asiThis skill uses the workspace's default tool permissions.
**Trit**: -1 (MINUS)
Explains pitchfork bifurcation—symmetric bifurcation with symmetry breaking—in dynamical systems theory. Analyzes local/global behavior, stability, bifurcations; integrates with Julia's AlgebraicDynamics.jl for compositional dynamics.
Guides Next.js Cache Components and Partial Prerendering (PPR) with cacheComponents enabled. Implements 'use cache', cacheLife(), cacheTag(), revalidateTag(), static/dynamic optimization, and cache debugging.
Guides building MCP servers enabling LLMs to interact with external services via tools. Covers best practices, TypeScript/Node (MCP SDK), Python (FastMCP).
Share bugs, ideas, or general feedback.
Trit: -1 (MINUS) Domain: Dynamical Systems Theory Principle: Bifurcation creating/destroying equilibrium pair
Saddle-node is a fundamental concept in dynamical systems theory, providing tools for understanding the qualitative behavior of differential equations and flows on manifolds.
SADDLE-NODE: Phase space × Time → Phase space
This skill participates in triadic composition:
using AlgebraicDynamics
# Saddle-node as compositional dynamical system
# Implements oapply for resource-sharing machines
Skill Name: saddle-node Type: Dynamical Systems / Saddle-node Trit: -1 (MINUS) GF(3): Conserved in triplet composition
Condition: μ(n) ≠ 0 (Möbius squarefree)
This skill is qualified for non-backtracking geodesic traversal:
Geodesic Invariant:
∀ path P: backtrack(P) = ∅ ⟹ μ(|P|) ≠ 0
Möbius Inversion:
f(n) = Σ_{d|n} g(d) ⟹ g(n) = Σ_{d|n} μ(n/d) f(d)