4 papers
Hierarchy of chaotic dynamics in random modular networks
Łukasz Kuśmierz, Ulises Pereira-Obilinovic, Zhixin Lu +2
We introduce a model of randomly connected neural populations and study its dynamics by means of the dynamical mean-field theory and simulations. Our analysis uncovers a rich phase…
Edge of chaos and avalanches in neural networks with heavy-tailed synaptic weight distribution
Łukasz Kuśmierz, Shun Ogawa, Taro Toyoizumi
We propose an analytically tractable neural connectivity model with power-law distributed synaptic strengths. When threshold neurons with biologically plausible number of incoming…
Invariants of motion with stochastic resetting and space-time coupled returns
Arnab Pal, Łukasz Kuśmierz, Shlomi Reuveni
Motion under stochastic resetting serves to model a myriad of processes in physics and beyond, but in most cases studied to date resetting to the origin was assumed to take zero ti…
Search with home returns provides advantage under high uncertainty
Arnab Pal, Łukasz Kuśmierz, Shlomi Reuveni
Many search processes are conducted in the vicinity of a favored location, i.e., a home, which is visited repeatedly. Foraging animals return to their dens and nests to rest, scout…