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Correlations between psychological and physiological phenomena form the basis for different medical and scientific disciplines, but the nature of this relation has not yet been fully understood. One conceptual option is to understand the…

Data Analysis, Statistics and Probability · Physics 2009-04-08 Carsten Allefeld , Harald Atmanspacher , Jiri Wackermann

The cerebral cortex spontaneously displays different patterns of activity that evolve over time according to the brain state. Sleep, wakefulness, resting states, and attention are examples of a wide spectrum of physiological states that can…

Metastable brain dynamics are characterized by abrupt, jump-like modulations so that the neural activity in single trials appears to unfold as a sequence of discrete, quasi-stationary states. Evidence that cortical neural activity unfolds…

Neurons and Cognition · Quantitative Biology 2019-06-20 Giancarlo La Camera , Alfredo Fontanini , Luca Mazzucato

How subjective experience (i.e., consciousness) arises out of objective material processes has been called the hard problem. The neuroscience of consciousness has set out to find the sufficient conditions for consciousness and theoretical…

Neurons and Cognition · Quantitative Biology 2023-11-17 Peter Coppola

The framework of Modern Theory of Critical State Transitions considers the relation between different levels of organization in complex systems in terms of Critical State Transitions. A State Transition between levels entails changes of…

Neurons and Cognition · Quantitative Biology 2008-11-05 Gerhard Werner

Quasistationarity is ubiquitous in complex dynamical systems. In brain dynamics there is ample evidence that event-related potentials reflect such quasistationary states. In order to detect them from time series, several segmentation…

Chaotic Dynamics · Physics 2015-06-23 Peter beim Graben , Axel Hutt

Cortical neurons emit seemingly erratic trains of action potentials or "spikes," and neural network dynamics emerge from the coordinated spiking activity within neural circuits. These rich dynamics manifest themselves in a variety of…

Neurons and Cognition · Quantitative Biology 2022-04-01 Braden A. W. Brinkman , Han Yan , Arianna Maffei , Il Memming Park , Alfredo Fontanini , Jin Wang , Giancarlo La Camera

In spite of the large amount of existing neural models in the literature, there is a lack of a systematic review of the possible effect of choosing different initial conditions on the dynamic evolution of neural systems. In this short…

Neurons and Cognition · Quantitative Biology 2016-05-24 Pedro A. Valdes-Hernandez , Thomas Knoesche

Recurrent neural policies are widely used in partially observable control and meta-RL tasks. Their abilities to maintain internal memory and adapt quickly to unseen scenarios have offered them unparalleled performance when compared to…

Machine Learning · Computer Science 2026-02-03 Jin Li , Yue Wu , Mengsha Huang , Yuhao Sun , Hao He , Xianyuan Zhan

A grand challenge in modern neuroscience is to bridge the gap between the detailed mapping of microscale neural circuits and mechanistic understanding of cognitive functions. While extensive knowledge exists about neuronal connectivity and…

Neurons and Cognition · Quantitative Biology 2026-02-11 Sen Lu , Xiaoyu Zhang , Mingtao Hu , Eric Yeu-Jer Lee , Soohyeon Kim , Wei D. Lu

Elucidating the neurophysiological mechanisms underlying neural pattern formation remains an outstanding challenge in Computational Neuroscience. In this paper, we address the issue of understanding the emergence of neural patterns by…

Neurons and Cognition · Quantitative Biology 2024-06-04 Gregory Dumont , Carmen Oana Tarniceriu

We examine the dynamical evolution of the state of a neurone, with particular care to the non-equilibrium nature of the forces influencing its movement in state space. We combine non-equilibrium statistical mechanics and dynamical systems…

Neurons and Cognition · Quantitative Biology 2021-02-19 Dalton A R Sakthivadivel

Metastability, characterized by a variability of regimes in time, is a ubiquitous type of neural dynamics. It has been formulated in many different ways in the neuroscience literature, however, which may cause some confusion. In this…

Neurons and Cognition · Quantitative Biology 2024-05-24 Kalel L. Rossi , Roberto C. Budzinski , Everton S. Medeiros , Bruno R. R. Boaretto , Lyle Muller , Ulrike Feudel

The mechanisms of psychotic symptoms like hallucinations and delusions are often investigated in fully-formed illness, well after symptoms emerge. These investigations have yielded key insights, but are not well-positioned to reveal the…

We investigated how the stability of macroscopic states in the associative memory model is affected by synaptic depression. To this model, we applied the dynamical mean-field theory, which has recently been developed in stochastic neural…

Disordered Systems and Neural Networks · Physics 2010-05-24 Yosuke Otsubo , Kenji Nagata , Masafumi Oizumi , Masato Okada

This review provides a dynamical systems perspective on psychiatric symptoms and disease, and discusses its potential implications for diagnosis, prognosis, and treatment. After a brief introduction into the theory of dynamical systems, we…

Neurons and Cognition · Quantitative Biology 2018-09-18 Daniel Durstewitz , Quentin J. M. Huys , Georgia Koppe

Information processing in the brain is coordinated by the dynamic activity of neurons and neural populations at a range of spatiotemporal scales. These dynamics, captured in the form of electrophysiological recordings and neuroimaging, show…

Neurons and Cognition · Quantitative Biology 2025-10-27 Ramón Nartallo-Kaluarachchi , Morten L. Kringelbach , Gustavo Deco , Renaud Lambiotte , Alain Goriely

Understanding how neural dynamics shape cognitive experiences remains a central challenge in neuroscience and psychiatry. Here, we present a novel framework leveraging state-to-output controllability from dynamical systems theory to model…

We study how the connectivity within a recurrent neural network determines and is determined by the multistable solutions of network activity. To gain analytic tractability we let neural activation be a non-smooth Heaviside step function.…

Neural and Evolutionary Computing · Computer Science 2023-03-09 Magnus Tournoy , Brent Doiron

The cognitive functions of human and non-human primates rely on the dynamic interplay of distributed neural assemblies. As such, it seems unlikely that cognition can be supported by macroscopic brain dynamics at the proximity of…

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