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The human cortex is never at rest but in a state of sparse and noisy neural activity that can be detected at broadly diverse resolution scales. It has been conjectured that such a state is best described as a critical dynamical process --…

Statistical Mechanics · Physics 2021-06-30 Victor Buendía , Pablo Villegas , Raffaella Burioni , Miguel A. Muñoz

This paper investigates the controllability of a broad class of recurrent neural networks widely used in theoretical neuroscience, including models of large-scale human brain dynamics. Motivated by emerging applications in non-invasive…

Optimization and Control · Mathematics 2025-09-29 Cyprien Tamekue , Ruiqi Chen , ShiNung Ching

Robust information representation and its persistent maintenance are fundamental for higher cognitive functions. Existing models employ distinct neural mechanisms to separately address noise-resistant processing or information maintenance,…

Neurons and Cognition · Quantitative Biology 2025-08-19 Jie Su , Weiwei Wang , Zhaotian Gu , Dahui Wang , Tianyi Qian

Continuous attractors offer a unique class of solutions for storing continuous-valued variables in recurrent system states for indefinitely long time intervals. Unfortunately, continuous attractors suffer from severe structural instability…

Neurons and Cognition · Quantitative Biology 2025-03-25 Ábel Ságodi , Guillermo Martín-Sánchez , Piotr Sokół , Il Memming Park

We present recent results on noise-induced transitions in a nonlinear oscillator with randomly modulated frequency. The presence of stochastic perturbations drastically alters the dynamical behaviour of the oscillator: noise can wash out a…

Chaotic Dynamics · Physics 2009-11-13 Sebastien Aumaitre , Francois Petrelis , Kirone Mallick

Continuous attractors have been used to understand recent neuroscience experiments where persistent activity patterns encode internal representations of external attributes like head direction or spatial location. However, the conditions…

Disordered Systems and Neural Networks · Physics 2019-01-01 Weishun Zhong , Zhiyue Lu , David J Schwab , Arvind Murugan

Neuronal networks alternate between high- and low-activity regimes, known as up and down states. They also display rhythmic patterns essential for perception, memory consolidation, and sensory processing. Despite their importance, the…

Neurons and Cognition · Quantitative Biology 2025-07-22 Kateryna Nechyporenko , Peter Ashwin , Krasimira Tsaneva-Atanasova

Many physical, chemical and biological processes rely on intrinsic oscillations to employ resonance responses to external stimuli of certain frequency. Such resonance phenomena in biological systems are typically explained by one of two…

Additive noise is known to produce counter-intuitive behaviors in nonlinear dynamical systems. Previously, it was shown that systems with a deterministic limit cycle can display bistable switching between metastable states in the presence…

Chaotic Dynamics · Physics 2015-01-26 Michael A. Schwemmer , Jay M. Newby

We suggest a realization of a bistable non-volatile memory capacitor (memcapacitor). Its design utilizes a strained elastic membrane as a plate of a parallel-plate capacitor. The applied stress generates low and high capacitance…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 J. Martinez-Rincon , Y. V. Pershin

The brain produces rhythms in a variety of frequency bands. Some are likely by-products of neuronal processes; others are thought to be top-down. Produced entirely naturally, these rhythms have clearly recognizable beats, but they are very…

Dynamical Systems · Mathematics 2020-06-09 Benjamin Ambrosio , Lai-Sang Young

We examine whether a single biophysical cortical circuit model can explain both spiking and perceptual variability. We consider perceptual rivalry, which provides a window into intrinsic neural processing since neural activity in some brain…

Neurons and Cognition · Quantitative Biology 2018-11-20 Benjamin P Cohen , Carson C Chow , Shashaank Vattikuti

Recent advancements in neurotechnology enable precise spatiotemporal patterns of microstimulations with single-cell resolution. The choice of perturbation sites must satisfy two key criteria: efficacy in evoking significant responses and…

Neurons and Cognition · Quantitative Biology 2025-06-02 Anandita De , Roozbeh Kiani , Luca Mazzucato

An electronic circuit device, inspired on the FitzHugh-Nagumo model of neuronal excitability, was constructed and shown to operate with characteristics compatible with those of biological sensory neurons. The nonlinear dynamical model of…

This paper presents a stability analysis of simple neuromodules displaying fold bifurcations (leading to hysteresis), flip bifurcations (period doubling and undoubling to and from chaos) and Neimark-Sacker bifurcations (quasiperiodic and…

Dynamical Systems · Mathematics 2016-09-20 Stephen Lynch , Jon Borresen

Changing a circuit dynamically, without actually changing the hardware itself, is called reconfiguration, and is of great importance due to its manifold technological applications. Circuit reconfiguration appears to be a feature of the…

Statistical Mechanics · Physics 2024-05-29 Marcelo O. Magnasco

Analog quantum simulations offer rich opportunities for exploring complex quantum systems and phenomena through the use of specially engineered, well-controlled quantum systems. A critical element, increasing the scope and flexibility of…

Quantum Physics · Physics 2018-08-09 M. Kounalakis , C. Dickel , A. Bruno , N. K. Langford , G. A. Steele

Periodically modulated nonlinear oscillators often display bistability of forced vibrations. This bistability can be used for new types of quantum measurements. They are based on switching between coexisting vibrational states. Since…

Mesoscale and Nanoscale Physics · Physics 2008-10-29 M. I. Dykman

Electrical stimulation of neural systems is a key tool for understanding neural dynamics and ultimately for developing clinical treatments. Many applications of electrical stimulation affect large populations of neurons. However,…

Neurons and Cognition · Quantitative Biology 2020-11-18 Caglar Cakan , Klaus Obermayer

Nonlinearity is a crucial characteristic for implementing hardware security primitives or neuromorphic computing systems. The main feature of all memristive devices is this nonlinear behavior observed in their current-voltage…

Emerging Technologies · Computer Science 2025-01-22 Sahitya Yarragolla , Torben Hemke , Fares Jalled , Tobias Gergs , Jan Trieschmann , Tolga Arul , Thomas Mussenbrock
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