MathDB4 problems
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The branching phase-defect conjecture for wave blocks in excitable media
In an excitable medium, a wave block is a region on the surface where wave propagation is blocked, and a phase defect (PD) is a defect associated with the phase of the excitation w…
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Conjecture on superscrolls in higher-dimensional non-local networks
Superscroll occurrence conjecture. Although the world around us is only three-dimensional, superscrolls can occur in media where oscillatory or excitable elements are connected on…
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Topology preservation conjecture for knots in FitzHugh–Nagumo media
Topology preservation conjecture. Non-trivial knots in a FitzHugh–Nagumo medium might preserve their topology and be remarkably immune to reconnection events that generically untie…
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Existence of persistent organizing centres in three-dimensional excitable media
The FitzHugh–Nagumo model describes neuronal excitability and spike-generating mechanisms. In three-dimensional excitable media, two-dimensional vortices can be embedded into three…