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In realistic neural circuits, both neurons and synapses are coupled in dynamics with separate time scales. The circuit functions are intimately related to these coupled dynamics. However, it remains challenging to understand the intrinsic…

Neurons and Cognition · Quantitative Biology 2025-11-11 Wenkang Du , Haiping Huang

Measurement-induced phase transition (MIPT) describes the nonanalytical change of the entanglement entropy resulting from the interplay between measurement and unitary evolution. In this paper, we investigate the relaxation critical…

Quantum Physics · Physics 2026-01-27 Wantao Wang , Shuo Liu , Jiaqiang Li , Shi-Xin Zhang , Shuai Yin

We model spontaneous cortical activity with a network of coupled spiking units, in which multiple spatio-temporal patterns are stored as dynamical attractors. We introduce an order parameter, which measures the overlap (similarity) between…

Neurons and Cognition · Quantitative Biology 2015-06-17 Silvia Scarpetta , Antonio de Candia

Inferring the presence of critical dynamics from continuous measure- ments is a challenging problem. We solve this problem by showing that continuous narrowband dynamics from a critical system exhibit qualita- tively differing behaviors…

Classical Physics · Physics 2015-09-01 Duncan A. J. Blythe , Vadim V. Nikulin

The problem of consciousness faced several challenges for a few reasons: (a) a lack of necessary and sufficient conditions, without which we would not know how close we are to the solution, (b) a lack of a synthesis framework to build…

Artificial Intelligence · Computer Science 2011-04-14 Muralidhar Ravuri

Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochastic dynamics of a non-conserved order parameter of the…

Statistical Mechanics · Physics 2015-03-20 N. V. Antonov , A. S. Kapustin

Mindfulness is the state of paying attention to the present moment on purpose and meditation is the technique to obtain this state. This study aims to develop a robot assistant that facilitates mindfulness training by means of a Brain…

Human-Computer Interaction · Computer Science 2020-08-13 Maryam Alimardani , Linda Kemmeren , Kazuki Okumura , Kazuo Hiraki

It is widely accepted that the brain operates near a critical state, characterized by neural avalanches that follow power-law distributions. However, the functional rationale for why neural systems attain criticality remains unclear. Here,…

Neurons and Cognition · Quantitative Biology 2026-05-22 He Xiao , Xinyue Zhao , Weikang Wang

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…

Information processing in complex systems is often found to be maximally efficient close to critical states associated with phase transitions. It is therefore conceivable that also neural information processing operates close to…

Neurons and Cognition · Quantitative Biology 2015-05-13 Christian Meisel , Thilo Gross

Network control theory has recently emerged as a promising approach for understanding brain function and dynamics. By operationalizing notions of control theory for brain networks, it offers a fundamental explanation for how brain dynamics…

Quantitative Methods · Quantitative Biology 2020-03-20 Shikuang Deng , Shi Gu

The interplay between collective optical response and molecular static and dynamic disorder is studied using simple effective Hamiltonians for an ensemble of two-level emitters inside and outside a single-mode cavity. We model environmental…

Chemical Physics · Physics 2022-11-30 Zeyu Zhou , Hsing-Ta Chen , Joseph E. Subotnik , Abraham Nitzan

We study signatures of critical behavior in microscopic simulations of small, highly excited Lennard-Jones drops. We focus our attention on the behavior of the system at the time of fragment formation (which takes place in phase space) and…

Nuclear Theory · Physics 2009-11-07 P. Balenzuela , A. Chernomoretz , C. O. Dorso

We present a new paradigm in the study of brain mental dynamics on the basis of the stable transient activity neural networks observed in experiments. This new approach is in contrast to traditional system analysis usually adopted in…

Adaptation and Self-Organizing Systems · Physics 2009-09-08 Mikhail I. Rabinovich , Mehmet K. Muezzinoglu

A massively recurrent neural network responds on one side to input stimuli and is autonomously active, on the other side, in the absence of sensory inputs. Stimuli and information processing depends crucially on the qualia of the…

Disordered Systems and Neural Networks · Physics 2012-02-01 Dimitrije Markovic , Claudius Gros

The attentional blink (AB) effect is the reduced ability of subjects to report a second target stimuli (T2) among a rapidly presented series of non-target stimuli, when it appears within a time window of about 200-500 ms after a first…

Neurons and Cognition · Quantitative Biology 2017-09-28 Nadav Amir , Israel Nelken , Naftali Tishby

We present a neuronal network model inspired by the Ising model, where each neuron is a binary spin ($s_i = \pm1$) interacting with its neighbors on a 2D lattice. Updates are asynchronous and follow Metropolis dynamics, with a…

Neurons and Cognition · Quantitative Biology 2025-06-10 Sajedeh Sarmastani , Maliheh Ghodrat , Yousef Jamali

In this theoretical work the temporal aspect of consciousness is analyzed. We start from the notion that while conscious experience seems to change constantly, yet for any of its contents to be consciously perceived they must last for some…

Neurons and Cognition · Quantitative Biology 2022-03-08 Bartosz Jura

Neural networks with equal excitatory and inhibitory feedback show high computational performance. They operate close to a critical point characterized by the joint activation of large populations of neurons. Yet, in macaque motor cortex we…

Disordered Systems and Neural Networks · Physics 2019-08-13 David Dahmen , Sonja Grün , Markus Diesmann , Moritz Helias

The heart beat data recorded from samples before and during meditation are analyzed using two different scaling analysis methods. These analyses revealed that mediation severely affects the long range correlation of heart beat of a normal…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. Sarkar , P. Barat
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