periodic-orbit - Periodic Orbit Analysis in Dynamical Systems
Analyzes closed trajectories in phase space for understanding qualitative behavior of differential equations
Tags
Updated: 2026-02-14Capabilities
Typical Inputs
Typical Outputs
What this skill does
- analyze closed trajectories
- study local behavior
- examine global structure
- assess bifurcations
- evaluate stability
Inputs
- phase space
- time parameter
- differential equations
- manifold data
Outputs
- trajectory analysis
- stability assessment
- bifurcation patterns
- qualitative behavior description
Requirements
- dynamical systems theory
- mathematical background
- GF(3) conservation
- non-backtracking geodesic qualification