Pulse Dynamics

Pulse Dynamics

Patterns and Simulations


Quasipatterns (SIADS multimedia)

Quasipatterns (SIADS multimedia)

Patterns and Simulations


Scroll wave filaments

Scroll wave filaments

Patterns and Simulations


Singularity dynamics on fluid surface

Singularity dynamics on fluid surface

Real Experiments

Singularity dynamics in curvature collapse and jet eruption on a fluid surface

Spinodal decomposition

Spinodal decomposition

Patterns and Simulations

Based on joint work with Stanislaus Maier-Paape and Evelyn Sander.

Spirals and Superspirals

Spirals and Superspirals

Patterns and Simulations


Spirals in the heart

Spirals in the heart

Patterns and Simulations


SRB measure

SRB measure

Fractals and Chaos


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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