A multifractal neural coding scheme reproducing foraging trajectories

The movement of many animals follows Lévy patterns. The possible endogenous neuronal dynamics that generates this behaviour is unknown. In this work, we show the novel discovery of multifractality in winnerless competition systems and how it reveals an encoding mechanism able to generate two dimensional superdiffusive Lévy movements from a Lotka-Volterra map, and experimental data for Long-Evans rats during chasing tasks, mice motor cortex neurons and the Grasshopper auditory receptor cell. The endogenous origin of the superdiffusive movement in animals has been established recently [2].
References
[1] G. M. Viswanathan, et al. The physics of foraging, Cambridge University Press, Cambridge, 2011.
[2] Sims et al., eLife, 8 (2019) e50316.