Welcome to
monodromy.group

This site is under perpetual construction, meaning that all pages are being continually, albeit slowly, improved and extended.
The Frog of Abydos 𓆏 will let you know, when there is a content gap yet to be filled.
Jump right to the mathematics of monodromy groups.

Flying Carpet

This flying carpet is actually a strange attractor of the discrete Lotka-Volterra system. Explore the details, and see an even more astounding version inside.

Double Pendulum

No mathematical/physical website would be complete without the double pendulum.

Crab Fractal

The Crab Fractal is a completely new discovery - a Fatou set in polynomial maps that I am currently studying.

3-body problem

The gravitation 3-body a problem. A simple playground for testing numerical integration with the modified midpoint method and others.

Tesselation

Tesselation of the plane, based on a rhomboidal grid. The edges and vertices are at your disposal - give them a drag (and share your results).

Non-autonomous Poincare section

An animated Poincare section. A non-autonomous Hamiltonian system gives a time-dependent set of crossing points.

Riemann surface for the square root

What is "monodromy" anyway?

Twin Dragon

The Twin Dragon fractal is neatly connected to number systems with complex base. Have you ever wondered what it sounds like?

© TSA, October 2019