What is the 'Trit 1' designation in this skill?

In the context of the plurigrid/asi repository, Trit 1 (PLUS) indicates that this skill acts as a source or generator within a triadic GF(3) composition framework.

What is the Geodesic Invariant mentioned in the skill?

It refers to a qualification for non-backtracking geodesic traversal, ensuring that state transitions in a skill invocation chain follow prime paths filtered by Möbius inversion.

Does this skill support Julia programming?

Yes, it specifically includes patterns for AlgebraicDynamics.jl to implement compositional dynamical systems and resource-sharing machines.

What is the primary function of the Kuramoto Model skill?

It provides Claude with specialized knowledge to model and analyze systems of coupled oscillators with sinusoidal coupling, particularly for studying synchronization.

How does it handle stability analysis?

The skill provides patterns for identifying bifurcations and calculating the robustness of systems under perturbation to determine qualitative stability.

Kuramoto Model Dynamics

Name: Kuramoto Model Dynamics
Author: plurigrid

byplurigrid

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数据科学与机器学习

Analyzes and implements coupled oscillators with sinusoidal coupling to model synchronization in complex dynamical systems.

关于

The Kuramoto Model skill provides specialized mathematical guidance for Claude Code, focusing on the study of synchronization and flow on manifolds. It offers tools for qualitative analysis of differential equations, equilibrium points, and invariant sets within phase space. Built for researchers and engineers working on networked systems, it integrates principles from AlgebraicDynamics.jl and GF(3) triadic composition, allowing for the construction of compositional dynamical systems and the analysis of parameter-dependent bifurcations and global stability.

主要功能

Bifurcation detection for parameter-dependent qualitative changes
Analysis of local behavior near equilibria and invariant sets
2 GitHub stars
Stability assessment via robustness checks under perturbation
Global structure mapping for long-term dynamics and limit sets
Integration with AlgebraicDynamics.jl for compositional modeling

使用场景

Simulating large-scale systems of coupled oscillators in Julia
Developing category-theoretic dynamical systems using resource-sharing machines
Modeling synchronization phenomena in power grids or biological networks

关于

主要功能

Bifurcation detection for parameter-dependent qualitative changes
Analysis of local behavior near equilibria and invariant sets
2 GitHub stars
Stability assessment via robustness checks under perturbation
Global structure mapping for long-term dynamics and limit sets
Integration with AlgebraicDynamics.jl for compositional modeling

使用场景

Simulating large-scale systems of coupled oscillators in Julia
Developing category-theoretic dynamical systems using resource-sharing machines
Modeling synchronization phenomena in power grids or biological networks