Sundial Mosaic

Sundial Mosaic

Patterns and Simulations

The image is created by iterating a map on a torus (the plane modulo a hexagonal lattice), counting the number of times each pixel is visited during the iteration, and coloring by number. (Poster for SIAM Journal on Applied Dynamical Systems.)

The Ketoja-Satija Orchid

The Ketoja-Satija Orchid

Fractals and Chaos


Topology of bursting activity in a 3D neuron model

Topology of bursting activity in a 3D neuron model

Bifurcation and Simulations

Three views on the parameterized slow motion manifolds and the 2D nullcline in a 3D leech inter-heart neuron model.


Twisted Scroll Ring in Excitable Media

Twisted Scroll Ring in Excitable Media

Patterns and Simulations

This image shows simulations of scroll-shaped waves often found in excitable media - such as heart tissue and chemical reactions.

Vortices

Vortices

Patterns and Simulations

The dynamics of 6 randomly chosen vortices in an ideal fluid.

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