MathDB2 problems
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Conjecture on collective homoclinic-like transitions in excitable networks
Consider excitable networks displaying noise-induced transitions, with collective dynamics that pass from a clamped regime to slow, large-amplitude, highly synchronized oscillation…
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Conjecture on the critical-fraction mechanism for noise-induced oscillations
Let an excitable network have a critical fraction of pioneers, meaning that below this fraction pioneers return to rest without firing a spike, while above it a chain reaction indu…