GeometricProblems.jl

Collection of example problems with interesting geometric structure for GeometricIntegrators.jl.

Example Problems

• Exponential Growth,
• Harmonic Oscillator,
• Lennard-Jones Oscillator,
• Nonlinear Oscillator,
• Mathematical Pendulum,
• Double Pendulum,
• Lorenz attractor in 3D,
• Lotka-Volterra in 2D,
• Lotka-Volterra in 3D,
• Lotka-Volterra in 4D,
• Kepler Problem,
• Hénon-Heiles System,
• Planar Point Vortices,
• Inner Solar System,
• Outer Solar System.

See ChargedParticleDynamics.jl for

• Charged Particle Motion in various electromagnetic Fields,
• Guiding Center Dynamics in various magnetic fields.

See GeometricExamples.jl for example scripts that run these problems with the integrators implemented in GeometricIntegrators.jl.

License

The GeometricProblems.jl package is licensed under the MIT "Expat" License.