Dynamics of Localized States with Periodic Forcing

Patterns and Simulations

Evolution of Chaos Synchronization

Fractals and Chaos

Evolution of the EPDiff Equation

Patterns and Simulations

Exact neural fields incorporating gap junctions

Patterns and Simulations

Faux Canards

Bifurcation and Continuation

Fibres

Patterns and Simulations

Projection in R3 of a bundle of fibres in the complement of the trefoil knot in C2, based on the dynamics of a set of matrices in SL[2,R].

Geckos Have Skin Patterning Showing Variation Within and Among Individuals

Patterns and Simulations

Global Saddle-Node Bifurcations in a Neuron Model

Bifurcation and Simulations

The stunning term, "Blue Sky Catastrophe" has been given to the last, out of the seven known, main bifurcations of a periodic orbit.

Global stable manifold of the Lorenz system

Invariant Manifolds

Hele Shaw Cell

Real Experiments

Hopf Bifurcations in Evolutionary Dynamics

Bifurcation and Continuation

Kleinian Group

Fractals and Chaos

Labyrinths of Localized States

Patterns and Simulations

Leap-Frogging Bubble Rings

Patterns and Simulations

Localised Patches

Patterns and Simulations

Meandering and drifting spirals

Patterns and Simulations

Mode-locking in Piecewise Smooth Maps

Bifurcation and Continuation

Resonance (mode-locking) tongues are commonly observed in smooth circle maps, and Neimark-Sacker bifurcations.

Modulated waves in rotating spherical convection

Patterns and Simulations

Natural invariant measures

Fractals and Chaos

Newton Method Fractals

Fractals and Chaos