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Two types of stable, highly localized Faraday's resonant standing waves with multiple crests and troughs are observed in the alcoholic solution partly filled in a Hele-Shaw cell vertically oscillated with a single frequency. These oscillons…

Fluid Dynamics · Physics 2014-10-01 Xiaochen LI , Dali Xu , Shijun Liao

Biological systems can rely on collective formation of a metachronal wave in an ensemble of oscillators for locomotion and for fluid transport. We consider one-dimensional chains of phase oscillators with nearest neighbor interactions,…

Biological Physics · Physics 2023-03-15 A. C. Quillen

The mammalian hippocampus plays a principal role in producing a cognitive map of space---an internalized representation of the animal's environment. The neuronal mechanisms producing this map depend primarily on the temporal structure of…

Neurons and Cognition · Quantitative Biology 2016-03-22 Edward Basso , Mamiko Arai , Yuri Dabaghian

Credit assignment problems, for example policy evaluation in RL, often require bootstrapping prediction errors through preceding states \textit{or} maintaining temporally extended memory traces; solutions which are unfavourable or…

Neurons and Cognition · Quantitative Biology 2023-05-16 Tom M George

Oscillons are long-lived nonlinear pseudo-solitonic configurations of scalar fields and many plausible inflationary scenarios predict an oscillon-dominated phase in the early universe. Many possible aspects of this phase remain unexplored,…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-03 Angela Xue , Kyle Chen , Baylee Verzyde , Peter Hayman , Richard Easther

We study the statistics of spike trains of simultaneously recorded grid cells in freely behaving rats. We evaluate pairwise correlations between these cells and, using a generalized linear model (kinetic Ising model), study their functional…

Neurons and Cognition · Quantitative Biology 2015-06-19 Benjamin Dunn , Maria Mørreaunet , Yasser Roudi

Rhythmic fluctuations in acoustic energy and accompanying neuronal excitations in cortical oscillations are characteristic of human speech, yet whether a corresponding rhythmicity inheres in the articulatory movements that generate speech…

Neurons and Cognition · Quantitative Biology 2025-12-05 Adamantios I. Gafos , Stephan R. Kuberski

A basal animal model is described as an organism similar to a Limpet that is attached to the sea floor living in a reproductive community. Its brain model uses logic cells (gates) to create a high frequency spike generator. Addition logic…

Other Quantitative Biology · Quantitative Biology 2016-12-19 Robert Alan Brown

In this article I investigate the novel synchronization behaviors of evolving pulse-coupled oscillator networks. Unlike previous models, the time-varying mechanism is inspired by neural network development, where seldom used links die out…

Chaotic Dynamics · Physics 2014-04-15 Yuanzhao Zhang

Biological oscillators coordinate individual cellular components so that they function coherently and collectively. They are typically composed of multiple feedback loops, and period mismatch is unavoidable in biological implementations. We…

Biological Physics · Physics 2013-05-06 Yoshihiko Hasegawa , Masanori Arita

This work concerns a many-body deterministic model that displays life-like properties as emergence, complexity, self-organization, spontaneous compartmentalization, and self-regulation. The model portraits the dynamics of an ensemble of…

Adaptation and Self-Organizing Systems · Physics 2023-07-11 Alessandro Scirè , Valerio Annovazzi-Lodi

We construct and analyze a rate-based neural network model in which self-interacting units represent clusters of neurons with strong local connectivity and random inter-unit connections reflect long-range interactions. When sufficiently…

Disordered Systems and Neural Networks · Physics 2015-06-22 Merav Stern , Haim Sompolinsky , L. F. Abbott

We consider two neuronal networks coupled by long-range excitatory interactions. Oscillations in the gamma frequency band are generated within each network by local inhibition. When long-range excitation is weak, these oscillations…

Neurons and Cognition · Quantitative Biology 2009-11-13 Demian Battaglia , Nicolas Brunel , David Hansel

The study reported herein attempts to understand the neural mechanisms engaged in the conscious control of breathing and breath-hold. The variations in the electroencephalogram (EEG) based functional connectivity (FC) of the human brain…

Signal Processing · Electrical Eng. & Systems 2023-12-18 Anusha A. S. , Pradeep Kumar G. , A. G. Ramakrishnan

Low-dimensional yet rich dynamics often emerge in the brain. Examples include oscillations and chaotic dynamics during sleep, epilepsy, and voluntary movement. However, a general mechanism for the emergence of low dimensional dynamics…

Neurons and Cognition · Quantitative Biology 2018-08-29 Wilten Nicola , Peter Hellyer , Sue Ann Campbell , Claudia Clopath

Animals achieve robust locomotion by offloading regulation from the brain to physical couplings within the body. In contrast, locomotion in artificial systems often depends on centralized processors. We introduce a rapid and autonomous…

Soft Condensed Matter · Physics 2025-05-16 Alberto Comoretto , Harmannus A. H. Schomaker , Johannes T. B. Overvelde

A minimalistic model of the half-center oscillator is proposed. Within it, we consider dynamics of two excitable neurons interacting by means of the excitatory coupling. In the parameter space of the model, we identify the regions of…

Dynamical Systems · Mathematics 2021-03-02 A. G. Korotkov , T. A. Levanova , M. A. Zaks , G. V. Osipov

The study of synchronization in biological systems is essential for the understanding of the rhythmic phenomena of living organisms at both molecular and cellular levels. In this paper, by using simple dynamical systems theory, we present a…

Molecular Networks · Quantitative Biology 2007-05-23 Chunguang Li , Luonan Chen , Kazuyuki Aihara

Sensory hair cells in auditory and vestibular organs rely on active mechanisms to achieve high sensitivity and frequency selectivity. Recent experimental studies have documented self-sustained oscillations in hair cells of lower vertebrates…

Biological Physics · Physics 2012-09-28 Rami Amro , Alexander B. Neiman

Neurons in the brain behave as non-linear oscillators, which develop rhythmic activity and interact to process information. Taking inspiration from this behavior to realize high density, low power neuromorphic computing will require huge…

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