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Chaos provides many interesting properties that can be used to achieve computational tasks. Such properties are sensitivity to initial conditions, space filling, control and synchronization. Chaotic neural models have been devised to…

Neural and Evolutionary Computing · Computer Science 2015-01-12 M. Alhawarat , T. Olde Scheper , N. T. Crook

The brain is in a state of perpetual reverberant neural activity, even in the absence of specific tasks or stimuli. Shedding light on the origin and functional significance of such a dynamical state is essential to understanding how the…

Statistical Mechanics · Physics 2022-07-08 Guillermo B. Morales , Serena Di Santo , Miguel A. Munoz

The balance between excitation and inhibition is crucial for neuronal computation. It is observed that the balanced state of neuronal networks exists in many experiments, yet its underlying mechanism remains to be fully clarified.…

Neurons and Cognition · Quantitative Biology 2017-10-17 Qing-long L. Gu , Songting Li , Wei P. Dai , Douglas Zhou , David Cai

One of the major challenges in neuroscience is to determine how noise that is present at the molecular and cellular levels affects dynamics and information processing at the macroscopic level of synaptically coupled neuronal populations.…

Disordered Systems and Neural Networks · Physics 2014-06-12 Paul C. Bressloff , Jay M. Newby

Despite the huge number of neurons composing a brain network, ongoing activity of local cell assemblies composing cortical columns is intrinsically stochastic. Fluctuations in their instantaneous rate of spike firing $\nu(t)$ scale with the…

Neurons and Cognition · Quantitative Biology 2024-04-15 Gianni V. Vinci , Roberto Benzi , Maurizio Mattia

Brain functions require both segregated processing of information in specialized circuits, as well as integration across circuits to perform high-level information processing. One possible way to implement these seemingly opposing demands…

Autonomous randomly coupled neural networks display a transition to chaos at a critical coupling strength. We here investigate the effect of a time-varying input on the onset of chaos and the resulting consequences for information…

Neurons and Cognition · Quantitative Biology 2018-11-21 Jannis Schuecker , Sven Goedeke , Moritz Helias

We investigate dynamical systems characterized by a time series of distinct semi-stable activity patterns, as they are observed in cortical neural activity patterns. We propose and discuss a general mechanism allowing for an adiabatic…

Disordered Systems and Neural Networks · Physics 2010-02-11 Claudius Gros

Neural systems process information in a dynamical regime between silence and chaotic dynamics. This has lead to the criticality hypothesis which suggests that neural systems reach such a state by self-organizing towards the critical point…

Disordered Systems and Neural Networks · Physics 2021-03-10 Stefan Landmann , Lorenz Baumgarten , Stefan Bornholdt

Networks of neural mass nodes with delayed interactions are increasingly being used as models for large-scale brain activity. To complement the growing number of computational studies of such networks, it is timely to develop new…

Dynamical Systems · Mathematics 2025-09-29 S Coombes , H G E Meijer

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · Physics 2009-10-31 Sitabhra Sinha

We study the stability and information encoding capacity of synchronized states in a neuronal network model that represents part of thalamic circuitry. Our model neurons have a Hodgkin-Huxley-type low threshold Calcium channel, display post…

Statistical Mechanics · Physics 2007-05-23 P. H. E. Tiesinga , Jorge V. José

A noise source model, consisting of a pulse sequence at random times with memory, is presented. By varying the memory we can obtain variable randomness of the stochastic process. The delay time between pulses, i. e. the noise memory,…

Statistical Mechanics · Physics 2009-09-29 O. Chichigina , D. Valenti , B. Spagnolo

Chaos and Noise are ubiquitous in the Brain. Inspired by the chaotic firing of neurons and the constructive role of noise in neuronal models, we for the first time connect chaos, noise and learning. In this paper, we demonstrate Stochastic…

Neurons and Cognition · Quantitative Biology 2021-03-10 Harikrishnan NB , Nithin Nagaraj

This technical note introduces parametric dynamic causal modelling, a method for inferring slow changes in biophysical parameters that control fluctuations of fast neuronal states. The application domain we have in mind is inferring slow…

Quantitative Methods · Quantitative Biology 2020-08-27 Amirhossein Jafarian , Peter Zeidman , Rob. C Wykes , Matthew Walker , Karl J. Friston

This paper introduces a novel approach for modelling time-varying connectivity in neuroimaging data, focusing on the slow fluctuations in synaptic efficacy that mediate neuronal dynamics. Building on the framework of Dynamic Causal…

Neurons and Cognition · Quantitative Biology 2024-12-05 Johan Medrano , Karl J. Friston , Peter Zeidman

Neurons in the nervous system are submitted to distinct sources of noise, such as ionic-channel and synaptic noise, which introduces variability in their responses to repeated presentations of identical stimuli. This motivates the use of…

We propose a neural network model with transient chaos, or a transiently chaotic neural network (TCNN) as an approximation method for combinatorial optimization problem, by introducing transiently chaotic dynamics into neural networks.…

chao-dyn · Physics 2008-02-03 Luonan Chen , Kazuyuki Aihara

In this work we study the capacity of interference-limited channels with memory. These channels model non-orthogonal communications scenarios, such as the non-orthogonal multiple access (NOMA) scenario and underlay cognitive communications,…

Information Theory · Computer Science 2023-06-02 Ron Dabora , Emeka Abakasanga

A synaptic theory of Working Memory (WM) has been developed in the last decade as a possible alternative to the persistent spiking paradigm. In this context, we have developed a neural mass model able to reproduce exactly the dynamics of…

Neurons and Cognition · Quantitative Biology 2025-05-29 Halgurd Taher , Alessandro Torcini , Simona Olmi
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