Asi phase-portrait-generator

Generate phase portraits for 2D dynamical systems. Use when visualizing vector fields, nullclines, and trajectories.

install

source · Clone the upstream repo

git clone https://github.com/plurigrid/asi

Claude Code · Install into ~/.claude/skills/

T=$(mktemp -d) && git clone --depth=1 https://github.com/plurigrid/asi "$T" && mkdir -p ~/.claude/skills && cp -r "$T/skills/phase-portrait-generator" ~/.claude/skills/plurigrid-asi-phase-portrait-generator-763863 && rm -rf "$T"

manifest: skills/phase-portrait-generator/SKILL.md

source content

Phase Portrait Generator

Generates phase portraits showing vector fields and trajectories in 2D state space.

When to Use

Visualizing 2D autonomous systems
Plotting nullclines and equilibria
Trajectory analysis in phase space

GF(3) Role

PLUS (+1) Generator - creates visual outputs from differential equations.

Quick Example

import numpy as np
import matplotlib.pyplot as plt

def phase_portrait(f, xlim=(-3,3), ylim=(-3,3), density=20):
    x = np.linspace(*xlim, density)
    y = np.linspace(*ylim, density)
    X, Y = np.meshgrid(x, y)
    U, V = f(X, Y)
    plt.streamplot(X, Y, U, V, density=1.5)
    plt.xlabel('x'); plt.ylabel('y')

# Van der Pol oscillator
phase_portrait(lambda x, y: (y, -x + (1 - x**2) * y))

Integration with bifurcation skills

Forms triad with:

```
bifurcation
```
(0): detects transitions
```
bifurcation-generator
```
(+1): parameter space
```
phase-portrait-generator
```
(+1): state space