Faux Canards

Faux Canards

Bifurcation and Continuation



Fibres

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].

Global Saddle-Node Bifurcations in a Neuron Model

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.


Hele Shaw Cell

Hele Shaw Cell

Real Experiments


Hopf Bifurcations in Evolutionary Dynamics

Hopf Bifurcations in Evolutionary Dynamics

Bifurcation and Continuation


Kleinian Group

Kleinian Group

Fractals and Chaos


Labyrinths of Localized States

Labyrinths of Localized States

Patterns and Simulations


Leap-Frogging Bubble Rings

Leap-Frogging Bubble Rings

Patterns and Simulations


Meandering and drifting spirals

Meandering and drifting spirals

Patterns and Simulations


Mode-locking in Piecewise Smooth Maps

Mode-locking in Piecewise Smooth Maps

Bifurcation and Continuation

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


Natural invariant measures

Natural invariant measures

Fractals and Choas


Newton Method Fractals

Newton Method Fractals

Fractals and Chaos


Ocean dynamics

Ocean dynamics

Patterns and Simulations


Pendulum Gyrations

Pendulum Gyrations

Fractals and Chaos


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