pyna - Python DYNAmics

pyna is a Python library for dynamical systems analysis and magnetic confinement fusion physics. It covers field-line tracing, Poincare maps, Hamiltonian systems, N-body interactions, finite-dimensional maps, Ito SDEs and the shared topology vocabulary used to promote sampled data into phase-space geometry.

Start Fast

Install, verify cyna, and run the first toroidal and general-dynamics examples.

Quick Start

Mini Cases

Short recipes for ODEs, Hamiltonian systems, maps, SDEs and topology promotion.

Mini Cases

Tutorials

Executed notebooks and narrative guides, including Monte Carlo SDE distribution estimation.

Tutorials and Examples

API Reference

Hand-written module guides plus the generated source reference.

API Reference

Documentation

• Installation
  • Supported Python versions
  • From PyPI
  • From source
  • cyna C++ Acceleration
  • CUDA
  • Development Install
  • Troubleshooting
• Quick Start
  • 1. Build an Analytic Equilibrium
  • 2. Trace Field Lines and Accumulate Poincaré Crossings
  • 3. Locate a Rational Surface and Measure an Island
  • 4. General Finite-Dimensional Dynamics
  • 5. Workflow-Based Construction
  • 6. Next Steps
• Mini Cases
  • Which Entry Point?
  • Case 1: ODE Sample to Closed Cycle
  • Case 2: Map Iterate to Periodic Orbit
  • Case 3: Analytic Stellarator O/X Points
  • Case 4: Custom System Registration
  • Case 5: SDE Distribution Estimate
  • Case 6: Where to Customize
  • Notebook Checklist
• Tutorials and Examples
  • Recommended Learning Path
  • General Dynamical Systems
  • Stochastic Differential Equations
  • Magnetic Coordinates and Equilibria
  • RMPs, Islands and Poincare Analysis
  • Monodromy and Manifolds
  • Classical and General Dynamical Systems
  • Static Tutorial Figures
• API Reference
  • General Dynamics (pyna.dynamics)
  • Dynamics Workflows and Extension Helpers
  • Field-line Tracing (pyna.flt)
  • Topology (pyna.topo)
  • Toroidal Physics (pyna.toroidal)
  • FPT Topology Control (pyna.control)
  • cyna Acceleration Layer
  • pyna
• Theory
  • Torus Deformation Theory
  • Continuous and Discrete Geometry
• Development
  • Architecture
  • Dynamics Workflows and Extension Helpers