GeometricProblems.jl
Collection of example problems with interesting geometric structure for GeometricIntegrators.jl.
Example Problems
- ABC Flow,
- Exponential Growth,
- Fermi-Pasta-Ulam Problem,
- Hénon-Heiles System,
- Kepler Problem,
- Lorenz Attractor in 3D,
- Lotka-Volterra in 2D,
- Lotka-Volterra in 3D,
- Lotka-Volterra in 4D,
- Massless Charged Particle,
- Harmonic Oscillator,
- Nonlinear Oscillators,
- Duffing Oscillator,
- Lennard-Jones Oscillator,
- Mathews-Lakshmanan Oscillator,
- Morse Oscillator,
- Mathematical Pendulum,
- Double Pendulum,
- Planar Point Vortices,
- Rigid Body,
- Chaplygin Sleigh,
- Inner Solar System,
- Outer Solar System,
- Heavy Top.
See ChargedParticleDynamics.jl for
- Charged Particle Motion in various electromagnetic Fields,
- Pauli Particle Dynamics in various electromagnetic Fields,
- Guiding Center Dynamics in various magnetic fields,
- Gyrokinetic Dynamics in various magnetic fields.
See GeometricExamples.jl for example scripts that run these problems with the integrators implemented in GeometricIntegrators.jl.