Orientable and non-orientable invariant manifolds

Invariant Manifolds

Particles in 1-D Binary Cellular Automata

Patterns and Simulations

Pattern Formation on Evolving Domains

Patterns and Simulations

Pattern Formation on Networks from Localised Activity to Turing Patterns

Patterns and Simulations

 

 

Pendulum Gyrations

Fractals and Chaos

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

Poincare mapping on a slow motion manifold

Invariant Manifolds

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

Shear-induced Chaos in Lasers (SIADS multimedia)

Fractals and Chaos

Singularity dynamics on fluid surface

Real Experiments

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

Spinodal decomposition

Patterns and Simulations

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

Spirals and Spiral Defect Chaos

Real Experiments

Spirals and Superspirals

Patterns and Simulations