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Neurons in the brain communicate with spikes, which are discrete events in time and value. Functional network models often employ rate units that are continuously coupled by analog signals. Is there a qualitative difference implied by these…

无序系统与神经网络 · 物理学 2021-07-20 Christian Keup , Tobias Kühn , David Dahmen , Moritz Helias

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: if the same signal is presented many times with the network in…

混沌动力学 · 物理学 2015-06-11 Guillaume Lajoie , Kevin K. Lin , Eric Shea-Brown

Oscillatory activities are widely observed in specific frequency bands of recorded field potentials in different brain regions, and play critical roles in processing neural information. Understanding the structure of these oscillatory…

神经元与认知 · 定量生物学 2015-07-23 Pengsheng Zheng

We present a perception model of ambiguous patterns based on the chaotic neural network and investigate the characteristics through computer simulations. The results induced by the chaotic activity are similar to those of psychophysical…

混沌动力学 · 物理学 2007-05-23 Natsuki Nagao , Haruhiko Nishimura , Nobuyuki Matsui

Large sparse circuits of spiking neurons exhibit a balanced state of highly irregular activity under a wide range of conditions. It occurs likewise in sparsely connected random networks that receive excitatory external inputs and recurrent…

神经元与认知 · 定量生物学 2013-08-16 Sven Jahnke , Raoul-Martin Memmesheimer , Marc Timme

Firing patterns in the central nervous system often exhibit strong temporal irregularity and heterogeneity in their time averaged response properties. Previous studies suggested that these properties are outcome of an intrinsic chaotic…

无序系统与神经网络 · 物理学 2015-11-25 Jonathan Kadmon , Haim Sompolinsky

Large networks of sparsely coupled, excitatory and inhibitory cells occur throughout the brain. A striking feature of these networks is that they are chaotic. How does this chaos manifest in the neural code? Specifically, how variable are…

神经元与认知 · 定量生物学 2014-02-25 Guillaume Lajoie , Jean-Philippe Thivierge , Eric Shea-Brown

The paper examines the discrete-time dynamics of neuron models (of excitatory and inhibitory types) with piecewise linear activation functions, which are connected in a network. The properties of a pair of neurons (one excitatory and the…

chao-dyn · 物理学 2007-05-23 Sitabhra Sinha

It is widely accepted that the complex dynamics characteristic of recurrent neural circuits contributes in a fundamental manner to brain function. Progress has been slow in understanding and exploiting the computational power of recurrent…

混沌动力学 · 物理学 2013-07-18 Rodrigo Laje , Dean V. Buonomano

While most models of randomly connected networks assume nodes with simple dynamics, nodes in realistic highly connected networks, such as neurons in the brain, exhibit intrinsic dynamics over multiple timescales. We analyze how the…

无序系统与神经网络 · 物理学 2019-09-11 Samuel P. Muscinelli , Wulfram Gerstner , Tilo Schwalger

We propose a discrete time dynamical system (a map) as phenomenological model of excitable and spiking-bursting neurons. The model is a discontinuous two-dimensional map. We find condition under which this map has an invariant region on the…

神经元与认知 · 定量生物学 2009-11-13 Maurice Courbage , V. I. Nekorkin , L. V. Vdovin

We study the onset of synchronous states in realistic chaotic neurons coupled by mutually inhibitory chemical synapses. For the realistic parameters, namely the synaptic strength and the intrinsic current, this synapse introduces…

统计力学 · 物理学 2015-05-13 T. Pereira , M. S. Baptista , J. Kurths , M. B. Reyes

We set up a signal-driven scheme of the chaotic neural network with the coupling constants corresponding to certain information, and investigate the stochastic resonance-like effects under its deterministic dynamics, comparing with the…

混沌动力学 · 物理学 2007-05-23 Haruhiko Nishimura , Naofumi Katada , Kazuyuki Aihara

Neuronal activity arises from an interaction between ongoing firing generated spontaneously by neural circuits and responses driven by external stimuli. Using mean-field analysis, we ask how a neural network that intrinsically generates…

神经元与认知 · 定量生物学 2010-08-04 Kanaka Rajan , L F Abbott , Haim Sompolinsky

Chaos control techniques have been applied to a wide variety of experimental systems, including magneto-elastic ribbons, lasers, chemical reactions, arrhythmic cardiac tissue, and spontaneously bursting neuronal networks. An underlying…

chao-dyn · 物理学 2008-02-03 David J. Christini , James J. Collins

Highly connected recurrent neural networks often produce chaotic dynamics, meaning their precise activity is sensitive to small perturbations. What are the consequences for how such networks encode streams of temporal stimuli? On the one…

神经元与认知 · 定量生物学 2016-12-16 Guillaume Lajoie , Kevin K Lin , Jean-Philippe Thivierge , Eric Shea-Brown

The generalization properties of an attractive network of non monotonic neurons which infers concepts from samples are studied. The macroscopic dynamics for the overlap between the state of the neurons with the concepts, well as the…

统计力学 · 物理学 2009-10-31 D. R. C. Dominguez

In neural circuits, statistical connectivity rules strongly depend on neuronal type. Here we study dynamics of neural networks with cell-type specific connectivity by extending the dynamic mean field method, and find that these networks…

神经元与认知 · 定量生物学 2015-02-24 Johnatan Aljadeff , Merav Stern , Tatyana O. Sharpee

Anatomical studies demonstrate that brain reformats input information to generate reliable responses for performing computations. However, it remains unclear how neural circuits encode complex spatio-temporal patterns. We show that neural…

神经元与认知 · 定量生物学 2018-02-20 Priyadarshini Panda , Kaushik Roy

The paper introduces a biologically and evolutionarily plausible neural architecture that allows a single group of neurons, or an entire cortical pathway, to be dynamically reconfigured to perform multiple, potentially very different…

神经与进化计算 · 计算机科学 2015-08-13 Thomas M. Breuel
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