Pattern Formation on Evolving Domains

Patterns and Simulations

Pattern Formation on Networks from Localised Activity to Turing Patterns

Patterns and Simulations

 

 

Phase lag map for burst polyrhythms in 3-cell CPG

Patterns and Simulations

Phase oscillators

Patterns and Simulations

Phase sensitivity near a heteroclinic bifurcation

Patterns and Simulations

Planar Swift-Hohenberg equation (SIADS multimedia)

Patterns and Simulations

Projection from diffusion-mapped delay coordinates

Patterns and Simulations

Pulse Dynamics

Patterns and Simulations

Quasipatterns (SIADS multimedia)

Patterns and Simulations

Rotating Pentagon at Zero Angular Momentum

Patterns and Simulations

Scroll wave filaments

Patterns and Simulations

Spinodal decomposition

Patterns and Simulations

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

Spiral Chimera States on a Torus

Patterns and Simulations

O. E. Omel'chenko, M. Wolfrum and E. Knobloch summarize an article that they recently published in SIAM Journal on Applied Dynamical Systems.

Spirals and Superspirals

Patterns and Simulations

Spirals in the heart

Patterns and Simulations

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 Interplay Between Cell Migration and Extracellular Matrix Remodelling Drives Complex Collective Pattern Formation

Biological Systems, Patterns and Simulations

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

Patterns and Simulations

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