What is a coupled system in this context?

A coupled system refers to interacting dynamical systems where the behavior of one component influences another, modeled via the intersection of phase space and time.

What is the significance of the Trit -1 value?

Within the GF(3) framework used by this skill, Trit -1 represents sinks or absorbers, ensuring the system participates in conserved triadic compositions.

Does this skill support stability analysis?

Yes, it provides a framework for analyzing local behavior near equilibria, global limit sets, and robustness under perturbation.

How does this skill use AlgebraicDynamics.jl?

It implements patterns for compositional dynamical systems, allowing Claude to assist with oapply operations and resource-sharing machine implementations in Julia.

Who is this skill intended for?

It is designed for researchers, data scientists, and engineers working with complex mathematical models, differential equations, and topological analysis.

Coupled Systems Dynamics

Name: Coupled Systems Dynamics
Author: plurigrid

byplurigrid

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データサイエンスとML

Models and analyzes interacting dynamical systems using topological and algebraic frameworks for complex system simulation.

概要

The Coupled System skill equips Claude with specialized domain knowledge for handling interacting dynamical systems and flows on manifolds. By leveraging AlgebraicDynamics.jl patterns and triadic composition (GF(3)), it enables sophisticated modeling of phase space interactions, stability analysis, and bifurcation points. This skill is particularly valuable for researchers and engineers working on complex systems where resource-sharing and compositional dynamics are essential for understanding qualitative behavior and global structural changes.

主な機能

GF(3) triadic logic for system conservation (Trit -1)
Bifurcation and stability analysis tools
Non-backtracking geodesic qualification for prime pathing
2 GitHub stars
Phase space and manifold flow analysis
AlgebraicDynamics.jl integration for compositional modeling

ユースケース

Simulating parameter-dependent qualitative changes in dynamical flows
Modeling resource-sharing machines in chemical or biological systems
Analyzing stability and equilibria in complex physical networks

概要

主な機能

GF(3) triadic logic for system conservation (Trit -1)
Bifurcation and stability analysis tools
Non-backtracking geodesic qualification for prime pathing
2 GitHub stars
Phase space and manifold flow analysis
AlgebraicDynamics.jl integration for compositional modeling

ユースケース

Simulating parameter-dependent qualitative changes in dynamical flows
Modeling resource-sharing machines in chemical or biological systems
Analyzing stability and equilibria in complex physical networks