Bifurcation Generator

SkillDev tools

Generate bifurcation diagrams for dynamical systems. Use when visualizing parameter-dependent behavior transitions.

Available today. Use it from your connected AI after setup.

Connect ahel once, and every AI you use reads what you have installed.

Then ask your AI: use the Bifurcation Generator skill

What this skill tells your AI

The instructions your AI receives, as published by plurigrid/asi in skills/bifurcation-generator/SKILL.md and read by ahel’s review.

Generates bifurcation diagrams showing how system behavior changes with parameters.

When to Use

  • Visualizing Hopf, pitchfork, saddle-node bifurcations
  • Parameter sweeps in dynamical systems
  • Stability boundary identification

GF(3) Role

PLUS (+1) Generator - creates visual outputs from system parameters.

Quick Examples

# Logistic map bifurcation
import numpy as np
import matplotlib.pyplot as plt

def logistic_bifurcation(r_min=2.5, r_max=4.0, steps=1000):
    r_vals = np.linspace(r_min, r_max, steps)
    x = 0.5
    for r in r_vals:
        for _ in range(100):  # transient
            x = r * x * (1 - x)
        for _ in range(50):   # attractor
            x = r * x * (1 - x)
            yield r, x

Integration with bifurcation (0) skill

This skill (PLUS +1) pairs with bifurcation (ERGODIC 0) for balanced analysis:

  • bifurcation: detects and classifies transitions
  • bifurcation-generator: visualizes parameter space

Signals

GitHub stars
63
Forks
12
Last commit
Jul 2026
Advanced
Catalog kind
skill
Gateway key
bifurcation-generator
Source
github.com/plurigrid/asi