Lévy walk dynamics explain gamma burst patterns in primate cerebral cortex
Lévy walks describe patterns of intermittent motion with variable step sizes. In complex
biological systems, Lévy walks (non-Brownian, superdiffusive random walks) are associated …
biological systems, Lévy walks (non-Brownian, superdiffusive random walks) are associated …
Functional advantages of Lévy walks emerging near a critical point
MS Abe - Proceedings of the National Academy of …, 2020 - National Acad Sciences
A special class of random walks, so-called Lévy walks, has been observed in a variety of
organisms ranging from cells, insects, fishes, and birds to mammals, including humans …
organisms ranging from cells, insects, fishes, and birds to mammals, including humans …
A neural coding scheme reproducing foraging trajectories
ED Gutiérrez, JL Cabrera - Scientific reports, 2015 - nature.com
The movement of many animals may follow Lévy patterns. The underlying generating
neuronal dynamics of such a behavior is unknown. In this paper we show that a novel …
neuronal dynamics of such a behavior is unknown. In this paper we show that a novel …
The foraging brain: Evidence of Lévy dynamics in brain networks
In this research we have analyzed functional magnetic resonance imaging (fMRI) signals of
different networks in the brain under resting state condition. To such end, the dynamics of …
different networks in the brain under resting state condition. To such end, the dynamics of …
Scale-free animal movement patterns: Lévy walks outperform fractional Brownian motions and fractional Lévy motions in random search scenarios
AM Reynolds - Journal of Physics A: Mathematical and …, 2009 - iopscience.iop.org
The movement patterns of a diverse range of animals have scale-free characteristics. These
characteristics provide necessary but not sufficient conditions for the presence of movement …
characteristics provide necessary but not sufficient conditions for the presence of movement …
Lévy flights in human behavior and cognition
A Baronchelli, F Radicchi - Chaos, Solitons & Fractals, 2013 - Elsevier
Lévy flights represent the best strategy to randomly search for a target in an unknown
environment, and have been widely observed in many animal species. Here, we inspect and …
environment, and have been widely observed in many animal species. Here, we inspect and …
Current status and future directions of Lévy walk research
AM Reynolds - Biology open, 2018 - journals.biologists.com
ABSTRACT Lévy walks are a mathematical construction useful for describing random
patterns of movement with bizarre fractal properties that seem to have no place in biology …
patterns of movement with bizarre fractal properties that seem to have no place in biology …
Lévy walk dynamics in an external harmonic potential
Lévy walks (LWs) are spatiotemporally coupled random-walk processes describing
superdiffusive heat conduction in solids, propagation of light in disordered optical materials …
superdiffusive heat conduction in solids, propagation of light in disordered optical materials …
Continuous and lurching traveling pulses in neuronal networks with delay and spatially decaying connectivity
D Golomb, GB Ermentrout - Proceedings of the National …, 1999 - National Acad Sciences
Propagation of discharges in cortical and thalamic systems, which is used as a probe for
examining network circuitry, is studied by constructing a one-dimensional model of integrate …
examining network circuitry, is studied by constructing a one-dimensional model of integrate …
Order in spontaneous behavior
Brains are usually described as input/output systems: they transform sensory input into
motor output. However, the motor output of brains (behavior) is notoriously variable, even …
motor output. However, the motor output of brains (behavior) is notoriously variable, even …