dynamical-system-functor - Dynamical System Functor for Categorical Analysis of Differential Equations
Provides categorical tools for analyzing qualitative behavior of dynamical systems on manifolds
Tags
Updated: 2026-02-14Capabilities
Typical Inputs
Typical Outputs
What this skill does
- analyze local behavior near equilibria
- examine global structure and limit sets
- study parameter-dependent bifurcations
- assess stability under perturbation
- apply triadic GF(3) composition
Inputs
- differential equations
- phase space
- time parameter
- perturbation parameters
- Möbius function conditions
Outputs
- qualitative behavior analysis
- bifurcation diagrams
- stability assessments
- trit conservation verification
Requirements
- μ(n) ≠ 0 Möbius condition for geodesic traversal
- GF(3) conservation: Σ trits ≡ 0 (mod 3)
- AlgebraicDynamics.jl package
- dynamical systems mathematical framework