feat(gds-viz): dynamical systems visualization (phase portraits, trajectories) #126
Description
Problem
gds-viz renders structural diagrams (Mermaid) for GDS specifications — block diagrams, canonical decomposition, traceability matrices. It does not produce dynamical behavior visualizations.
Proposed Solution
Add visualization types for simulation output:
- Phase portraits / vector fields
- Trajectory plots (state vs time, state vs state)
- Reachable set / isochrone visualization
- Time-stepping animation (trajectory build-up with slider)
- Conservation diagnostic plots (invariant drift over time)
Could use matplotlib or plotly as backend, integrated into marimo notebooks.
Motivation
The Homicidal Chauffeur notebook produces 10 distinct visualization types including optimal vector fields, backward trajectory families, physical chase animations, reachable sets with isochrones, and conservation diagnostics. These dynamical visualizations are essential for understanding simulation output.
Scope
Separate from structural Mermaid rendering. Could be a new module in gds-viz or a standalone visualization layer operating on gds-sim Results.