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A great deal of research has been devoted on the investigation of neural dynamics in various network topologies. However, only a few studies have focused on the influence of autapses, synapses from a neuron onto itself via closed loops, on…

Neurons and Cognition · Quantitative Biology 2020-11-09 P. R. Protachevicz , K. C. Iarosz , I. L. Caldas , C. G. Antonopoulos , A. M. Batista , J. Kurths

Neurons regulate the distribution of signaling components across an extended tree-like cellular structure using both local and global feedback control. This is hypothesized to allow homeostatic control of the electrical activity of a neuron…

Adaptation and Self-Organizing Systems · Physics 2021-04-27 Saeed Aljaberi , Adriano Bellotti , Timothy O'Leary , Fulvio Forni

The study on the collective dynamics of synchronization among genetic oscillators is essential for the understanding of the rhythmic phenomena of living organisms at both molecular and cellular levels. Genetic oscillators are biochemical…

Chaotic Dynamics · Physics 2007-05-23 Chunguang Li , Luonan Chen , Kazuyuki Aihara

Hair cells of the auditory and vestibular systems display astonishing sensitivity, frequency selectivity, and temporal resolution to external signals. These specialized cells utilize an internal active amplifier to achieve highly sensitive…

Neurons and Cognition · Quantitative Biology 2021-03-31 Justin Faber , Hancheng Li , Dolores Bozovic

Determining how synaptic coupling within and between regions is modulated during sensory processing is an important topic in neuroscience. Electrophysiological recordings provide detailed information about neural spiking but have…

Neurons and Cognition · Quantitative Biology 2018-02-07 Andrea K. Barreiro , Shree Hari Gautam , Woodrow L. Shew , Cheng Ly

We study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neurons emit spikes irregularly and at a low rate. In the limit when the number of neurons N tends to…

Disordered Systems and Neural Networks · Physics 2007-05-23 N. Brunel , V. Hakim

Over the brief time intervals available for processing retinal output, roughly 50 to 300 msec, the number of extra spikes generated by individual ganglion cells can be quite variable. Here, computer-generated spike trains were used to…

Neurons and Cognition · Quantitative Biology 2007-09-14 Garrett T. Kenyon

The dynamical properties of a diluted fully-inhibitory network of pulse-coupled neurons are investigated. Depending on the coupling strength, two different phases can be observed. At low coupling the evolution rapidly converges towards…

Disordered Systems and Neural Networks · Physics 2009-11-11 Ruediger Zillmer , Roberto Livi , Antonio Politi , Alessandro Torcini

The brain may be thought of as a many-body architecture with a spatio-temporal dynamics described by neuronal structures. The oscillatory nature of brain activity allows these structures (nodes) to be described as a set of coupled…

Neurons and Cognition · Quantitative Biology 2021-02-03 J. Mendoza-Ruiz , C. E. Alonso-Malaver , M. Valderrama , O. A. Rosso , J. H. Martínez

Synchronized bursts (SBs) with complex structures are common in neuronal cultures. Although the origin of SBs is still unclear, they have been studied for their information processing capabilities. Here, we investigate the properties of…

Neurons and Cognition · Quantitative Biology 2018-02-07 Yu-Ting Huang , Yu-Lin Chang , Chun-Chung Chen , Pik-Yin Lai , C. K. Chan

We assess electrical brain dynamics before, during, and after one-hundred human epileptic seizures with different anatomical onset locations by statistical and spectral properties of functionally defined networks. We observe a concave-like…

Neurons and Cognition · Quantitative Biology 2013-11-25 Kaspar A. Schindler , Stephan Bialonski , Marie-Therese Horstmann , Christian E. Elger , Klaus Lehnertz

Periodic and nonperiodic components of electrophysiological signals are modelled in terms of syncronized sequences of closed loops of firing neurons correlated in Markov chains. Single closed loops of firing neurons reproduce fundamental…

Neurons and Cognition · Quantitative Biology 2022-09-19 P. Mazzetti , A. Carbone

Nowadays, explosive synchronization is a well documented phenomenon occurring in networks when the node frequency and its degree are correlated. This first-order transition, which may coexists with classical synchronization, has been…

Physics and Society · Physics 2023-05-17 Manuel Miranda , Mattia Frasca , Ernesto Estrada

In this contribution, we have considered the collective behavior of the two as well as the network of heterogeneous coupled Hindmarsh Rose (HR) neurons. The heterogeneous models were made of a memristive 2D (HR) and the traditional 3D HR…

Neurons and Cognition · Quantitative Biology 2023-02-24 Zeric Tabekoueng Njitacke , Sishu Shankar Muni , Soumyajit Seth , Jan Awrejcewicz , Jacques Kengne

From the flashes of fireflies to Josephson junctions and power infrastructure, networks of coupled phase oscillators provide a powerful framework to describe synchronization phenomena in many natural and engineered systems. Most real-world…

Adaptation and Self-Organizing Systems · Physics 2022-03-02 Sherwood Martineau , Tim Saffold , Timothy T. Chang , Henrik Ronellenfitsch

The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and rotation motion and show that stable in-phase and…

Chaotic Dynamics · Physics 2015-06-05 Marcin Kapitaniak , Przemyslaw Perlikowski , Tomasz Kapitaniak

Experimental and numerical results suggest that the brain can be viewed as a system acting close to a critical point, as confirmed by scale-free distributions of relevant quantities in a variety of different systems and models. Less…

Neurons and Cognition · Quantitative Biology 2020-11-25 Dario Raimo , Alessandro Sarracino , Lucilla de Arcangelis

Electronic circuits are useful tools for studying potential dynamical behaviors of synthetic genetic networks. The circuit models are complementary to numerical simulations of the networks, especially providing a framework for verification…

Biological Physics · Physics 2017-07-07 Edward H. Hellen , Syamal K. Dana

Networks of coupled dynamical systems provide a powerful way to model systems with enormously complex dynamics, such as the human brain. Control of synchronization in such networked systems has far reaching applications in many domains,…

Adaptation and Self-Organizing Systems · Physics 2018-03-21 Julien Gout , Markus Quade , Kamran Shafi , Robert K. Niven , Markus Abel

Analog computing at the edge is an emerging strategy to limit data storage and transmission requirements, as well as energy consumption, and its practical implementation is in its initial stages of development. Translating properties of…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Giuseppe Leo , Paolo Gibertini , Irem Ilter , Erika Covi , Ole Richter , Elisabetta Chicca
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