npx claudepluginhub plurigrid/asi --plugin asiThis skill uses the workspace's default tool permissions.
**Trit**: 1 (PLUS)
Analyzes stability in dynamical systems using Lyapunov's direct method for equilibria, invariant sets, bifurcations, and perturbation robustness. Includes GF(3) integration and Julia examples.
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 (PLUS) Domain: Dynamical Systems Theory Principle: Qualitative behavior of solutions near equilibria
Stability is a fundamental concept in dynamical systems theory, providing tools for understanding the qualitative behavior of differential equations and flows on manifolds.
STABILITY: Phase space × Time → Phase space
This skill participates in triadic composition:
using AlgebraicDynamics
# Stability as compositional dynamical system
# Implements oapply for resource-sharing machines
Skill Name: stability Type: Dynamical Systems / Stability Trit: 1 (PLUS) 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)