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Aric Hagberg

Formation of labyrinthine pattern

An initial stripe is unstable to transverse perturbations. The stripe meanders and undergoes tip-splitting until a final labyrinthine pattern is reached.
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Spiral-wave breakup

A spiral wave, intially computed in a stable parameter regime, breaks and a new pattern emerges where new spiral waves are continuously created and destroyed.
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Spiral-wave breakup 2

A spiral wave, intially computed in a stable parameter regime, breaks and a new pattern emerges where new spiral waves are continuously created and destroyed.
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Spot splitting

An almost planar pluse is unstable to transverse perturbations. Cusps form along the front line and nucleate pairs of new spiral waves. The spirals are unstable and break, creating new spiral pairs.
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Spot splitting

A small spot grows, splits into two spots, and eventually fills the entire domain with a disconnected labyrinthine pattern
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Spot splitting 2

A small spot grows, splits into two spots, and eventually fills the entire domain with a disconnected oscillating labyrinthine pattern. The long-time behavior of this pattern is unknown.
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Spiral breakup by an external advective field

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