dynamical-systems-theorist - Analyze nonlinear dynamics and bifurcations
Analyzes dynamical systems using state-space methods, invariant structures, bifurcation theory, perturbation techniques, and validated numerical tools.
Tags
Updated: 2026-10-03Capabilities
Typical Inputs
Typical Outputs
What this skill does
- Classify dynamical systems
- Find equilibria and Jacobians
- Analyze invariant sets
- Reduce system dimensions
- Classify bifurcations
- Continue periodic orbits
- Estimate Lyapunov exponents
- Check numerical artifacts
Inputs
- Dynamical system model
- Parameter ranges
- State variables
- Physical constraints
- Observed time series
- Numerical settings
Outputs
- Dynamical analysis report
- Bifurcation classifications
- Periodic-orbit continuations
- Numerical simulation results
- Artifact and failure warnings