11 citations · 19 across the 4 of their papers we have counts for
4 papers
Self-organised dynamics beyond scaling of avalanches: Cyclic stress fluctuations in critical sandpiles
Bosiljka Tadic, Alexander Shapoval, Mikhail Shnirman
Recognising changes in collective dynamics in complex systems is essential for predicting potential events and their development. Possessing intrinsic attractors with laws associat…
Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile
Alexander Shapoval, Mikhail Shnirman
With the original Bak-Tang-Wisenefeld (BTW) sandpile we uncover the noise in the mechanism maintaining self-organized criticality (SOC) - the question raised together with th…
Probability Distribution in a Close Proximity of the Bak-Tang-Wiesenfeld Sandpile
A. Shapoval, B. Shapoval, M. Shnirman
The mechanism of self-organized criticality is based on a steady slow loading and a quick huge stress-release. We add the clustering of the events in space and time to the Bak-Tang…
Randmoness and Step-like Distribution of Pile Heights in Avalanche Models
A. B. Shapoval, M. G. Shnirman
The paper develops one-parametric family of the sand-piles dealing with the grains' local losses on the fixed amount. The family exhibits the crossover between the models with dete…