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The dynamics of three mutually coupled cortical neurons with time delays in the coupling are explored numerically and analytically. The neurons are coupled in a line, with the middle neuron sending a somewhat stronger projection to the…

Chaotic Dynamics · Physics 2011-01-25 Alexandra S. Landsman , Ira B. Schwartz

Neural oscillations have long been considered important markers of interaction across brain regions, yet identifying coordinated oscillatory activity from high-dimensional multiple-electrode recordings remains challenging. We sought to…

Methodology · Statistics 2025-12-30 Heejong Bong , Valérie Ventura , Eric A. Yttri , Matthew A. Smith , Robert E. Kass

Intermittent transitions, associated with critical dynamics and characterized by power-law distributions, are commonly observed during sleep. These critical behaviors are evident at the microscopic level through neuronal avalanches and at…

Physics and Society · Physics 2025-03-28 Xiyun Zhang , Bojun Wang , Hongjie Bi

The identification of sensory cues associated with potential opportunities and dangers is frequently complicated by unrelated events that separate useful cues by long delays. As a result, it remains a challenging task for state-of-the-art…

Neural and Evolutionary Computing · Computer Science 2024-02-20 Shimin Zhang , Qu Yang , Chenxiang Ma , Jibin Wu , Haizhou Li , Kay Chen Tan

A central question in neuroscience is to understand how noisy firing patterns are used to transmit information. Because neural spiking is noisy, spiking patterns are often quantified via pairwise correlations, or the probability that two…

Neurons and Cognition · Quantitative Biology 2017-05-29 Andrea K. Barreiro , Cheng Ly

Rhythm processing involves building expectations according to the hierarchical temporal structure of auditory events. Although rhythm processing has been addressed in the context of predictive coding, the properties of the oscillatory…

Neurons and Cognition · Quantitative Biology 2021-10-19 Mohammadreza Edalati , Mahdi Mahmoudzadeh , Javad Safaie , Fabrice Wallois , Sahar Moghimi

In the brain, coherent neuronal activities often appear simultaneously in multiple frequency bands, e.g., as combinations of alpha (8-12 Hz), beta (12.5-30 Hz), gamma (30-120 Hz) oscillations, among others. These rhythms are believed to…

Neurons and Cognition · Quantitative Biology 2023-04-26 Tianyi Wu , Yuhang Cai , Ruilin Zhang , Zhongyi Wang , Louis Tao , Zhuo-Cheng Xiao

Electro-cortical activity in patients with epilepsy may show abnormal rhythmic transients in response to stimulation. Even when using the same stimulation parameters in the same patient, wide variability in the duration of transient…

Neurons and Cognition · Quantitative Biology 2017-05-08 Gerold Baier , Peter N Taylor , Yujiang Wang

Natural and technological networks exhibit dynamics that can lead to complex cooperative behaviors, such as synchronization in coupled oscillators and rhythmic activity in neuronal networks. Understanding these collective dynamics is…

Adaptation and Self-Organizing Systems · Physics 2026-05-15 Felix Augustsson , Erik Andreas Martens

Macroscopic oscillations in the brain are involved in various cognitive and physiological processes, yet their precise function is not not completely understood. Communication Through Coherence (CTC) theory proposes that these rhythmic…

Neurons and Cognition · Quantitative Biology 2023-11-16 Michael Orieux , Antoni Guillamon , Gemma Huguet

Critical branching is a theoretical interaction in-between simple units, such as neuronal elements of the human brain. Zhigalov, Kaplan, and Palva (2016, Clin. Neurophysiol., 127(8), 2882-2889) revealed that neurofeedback flash stimulation…

Neurons and Cognition · Quantitative Biology 2017-02-22 Tom Campbell

Cross-correlation functions (CCFs) are classical tools for studying lead-lag relationships between paired time series, but they are most often used descriptively rather than inferentially. Motivated by mouse experiments on gut-brain…

Applications · Statistics 2026-04-07 Bhaskar Ray , Tùng Bùi , William Matthew Howe , Srijan Sengupta

Visually induced neuronal activity in V1 displays a marked gamma-band component which is modulated by stimulus properties. It has been argued that synchronized oscillations contribute to these gamma-band activity [... however,] even when…

Neurons and Cognition · Quantitative Biology 2011-12-20 Demian Battaglia , David Hansel

In this study, we analyze the feasibility of distributed phase synchronization for coherent signal superposition, a fundamental enabler for paradigms such as coherent over-the-air computation (OAC), distributed beamforming, and interference…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Alphan Sahin

Recurrently coupled networks of inhibitory neurons robustly generate oscillations in the gamma band. Nonetheless, the corresponding Wilson-Cowan type firing rate equation for such an inhibitory population does not generate such oscillations…

Neurons and Cognition · Quantitative Biology 2018-01-08 Federico Devalle , Alex Roxin , Ernest Montbrió

In this paper, we introduce the Causal Cognitive Interference Channel With Delay (CC-IFC-WD) in which the cognitive user transmission can depend on $L$ future received symbols as well as the past ones. Taking the effect of the link delays…

Information Theory · Computer Science 2012-02-06 Mahtab Mirmohseni , Bahareh Akhbari , Mohammad Reza Aref

This paper studies a stochastic neural field model that is extended from our previous paper [14]. The neural field model consists of many heterogeneous local populations of neurons. Rigorous results on the stochastic stability are proved,…

Probability · Mathematics 2018-07-06 Yao Li , Hui Xu

In this research report, we examine the effects of small-world network organization on spike synchronization dynamics in networks of Izhikevich spiking units. We interpolate network organizations from regular ring lattices, through the…

Neural and Evolutionary Computing · Computer Science 2013-09-24 Derek Harter

We have studied effects of perturbations on the cat cerebral cortex. According to the literature, this cortex structure can be described by a clustered network. This way, we construct a clustered network with the same number of areas as in…

We investigate flame-acoustic interactions in a turbulent combustor during the state of intermittency before the onset of thermoacoustic instability using complex networks. Experiments are performed in a turbulent bluff-body stabilized dump…