Optimal information representation and criticality in an adaptive sensory recurrent neuronal network

O Shriki, D Yellin - PLoS computational biology, 2016 - journals.plos.org
Recurrent connections play an important role in cortical function, yet their exact contribution
to the network computation remains unknown. The principles guiding the long-term …

Aperiodic stochastic resonance in neural information processing with Gaussian colored noise

Y Kang, R Liu, X Mao - Cognitive Neurodynamics, 2021 - Springer
The aim of this paper is to explore the phenomenon of aperiodic stochastic resonance in
neural systems with colored noise. For nonlinear dynamical systems driven by Gaussian …

Effect of external noise on the hysteresis characteristics of a thermoacoustic system

EA Gopalakrishnan, RI Sujith - Journal of Fluid Mechanics, 2015 - cambridge.org
We present the effect of noise on the hysteresis characteristics of a prototypical
thermoacoustic system, a horizontal Rijke tube. As we increase the noise intensity, we find …

Brain Performance versus Phase Transitions

JJ Torres, J Marro - Scientific reports, 2015 - nature.com
We here illustrate how a well-founded study of the brain may originate in assuming
analogies with phase-transition phenomena. Analyzing to what extent a weak signal …

The distinct stochastic and deterministic dynamics between period-adding and period-doubling bifurcations of neural bursting patterns

Y Li, H Gu - Nonlinear Dynamics, 2017 - Springer
Period-adding bifurcations and period-doubling bifurcations of neural firing patterns, which
were both observed in the biological experiment on a neural pacemaker and simulated in a …

Dynamics of localized waves in one-dimensional random potentials: Statistical theory of the coherent forward scattering peak

KL Lee, B Grémaud, C Miniatura - Physical Review A, 2014 - APS
As recently discovered [T. Karpiuk, Phys. Rev. Lett. 109, 190601 (2012) PRLTAO 0031-9007
10.1103/PhysRevLett. 109.190601], Anderson localization in a bulk disordered system …

Link between externally excited nonlinear system and parametrically excited Duffing oscillator via bursting oscillations and phase transitions

Z Rakaric - Meccanica, 2022 - Springer
New types of bursting oscillations in the Duffing oscillator with a slow parametric excitation
are introduced. By treating low-frequency parametric excitation as a bifurcation parameter in …

Fractional Brownian motions

A Fuliński - Acta Physica Polonica. B, 2020 - ruj.uj.edu.pl
The prehistory of description of phenomena known today as the Brownian motions (Bms)
ranges back 2000 years ago, to Lucretius (ca. 99–55 BC)[1], who used his observations of …

Phase coherence induced by additive Gaussian and non-Gaussian noise in excitable networks with application to burst suppression-like brain signals

A Hutt, J Lefebvre, D Hight, HA Kaiser - Frontiers in applied …, 2020 - frontiersin.org
It is well-known that additive noise affects the stability of non-linear systems. Using a network
composed of two interacting populations, detailed stochastic and non-linear analysis …

Approximate-master-equation approach for the Kinouchi-Copelli neural model on networks

CY Wang, ZX Wu, MZQ Chen - Physical Review E, 2017 - APS
In this work, we use the approximate-master-equation approach to study the dynamics of the
Kinouchi-Copelli neural model on various networks. By categorizing each neuron in terms of …