npx claudepluginhub plurigrid/asi --plugin asiThis skill uses the workspace's default tool permissions.
**Trit**: 1 (PLUS)
Provides context on invariant sets preserved by flows in dynamical systems theory, covering definitions, properties like stability and bifurcations, GF(3) integration, and Julia code with AlgebraicDynamics.jl. Useful for qualitative dynamics analysis.
Guides Next.js Cache Components and Partial Prerendering (PPR): 'use cache' directives, cacheLife(), cacheTag(), revalidateTag() for caching, invalidation, static/dynamic optimization. Auto-activates on cacheComponents: true.
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: Invariance principle for asymptotic stability
LaSalle Invariance is a fundamental concept in dynamical systems theory, providing tools for understanding the qualitative behavior of differential equations and flows on manifolds.
LASALLE_INVARIANCE: Phase space × Time → Phase space
This skill participates in triadic composition:
using AlgebraicDynamics
# LaSalle Invariance as compositional dynamical system
# Implements oapply for resource-sharing machines
Skill Name: lasalle-invariance Type: Dynamical Systems / LaSalle Invariance 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)