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We describe a form of memory exhibited by extended excitable systems driven by stochastic fluctuations. Under such conditions, the system self-organizes into a state characterized by power-law correlations thus retaining long-term memory of…

adap-org · 物理学 2009-10-31 Dante R. Chialvo , Guillermo A. Cecchi , Marcelo O. Magnasco

We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general synchronization transition becomes more difficult to meet when memory range increases,…

混沌动力学 · 物理学 2009-11-11 Rafael Morgado , Michal Ciesla , Lech Longa , Fernando A. Oliveira

Asymmetry in the synaptic interactions between neurons plays a crucial role in determining the memory storage and retrieval properties of recurrent neural networks. In this work, we analyze the problem of storing random memories in a…

无序系统与神经网络 · 物理学 2022-10-11 Fabián Aguirre-López , Mauro Pastore , Silvio Franz

We study the learning of an external signal by a neural network and the time to forget it when this network is submitted to noise. The presentation of an external stimulus to the recurrent network of binary neurons may change the state of…

概率论 · 数学 2020-06-11 Pascal Helson

Turn-taking behaviour is simulated in a coupled agents system. Each agent is modelled as a mobile robot with two wheels. A recurrent neural network is used to produce the motor outputs and to hold the internal dynamics. Agents are developed…

适应与自组织系统 · 物理学 2007-05-23 Hiroyuki Iizuka , Takashi Ikegami

Synaptic noise plays a major role in setting up coexistence of various firing patterns, but the precise mechanisms whereby these synaptic noise contributes to coexisting firing activities are subtle and remain elusive. To investigate these…

生物物理 · 物理学 2023-03-22 Xinyi Wang , Xiyun Zhang , Muhua Zheng , Leijun Xu , Kesheng Xu

We explore the dynamics of an integrate-and-fire neuron with an oscillatory stimulus. The frustration due to the competition between the neuron's natural firing period and that of the oscillatory rhythm, leads to a rich structure of…

统计力学 · 物理学 2013-05-29 Jan R. Engelbrecht , Renato Mirollo

Electron transport through amorphous monatomic metallic structures generated earlier by molecular dynamics simulations is studied numerically. The interference of electronic trajectories backscattered by the structural disorder probes the…

无序系统与神经网络 · 物理学 2009-10-31 V. I. Kozub , C. Oligschleger

Thermodynamic-driven filament formation in redox-based resistive memory and the impact of thermal fluctuations on switching probability of emerging magnetic switches are probabilistic phenomena in nature, and thus, processes of binary…

其他凝聚态物理 · 物理学 2013-10-21 Omid Kavehei , Efstratios Skafidas

The Rulkov model, which simulates the behavior of biological neurons, is modified by replacing one of its control parameters with a memristive, sigmoid-type function of finite memory. This modification causes the parameter to vary according…

混沌动力学 · 物理学 2026-01-21 Miguel Moreno , Alexandre R. Nieto , Miguel A. F. Sanjuán

Artificial neural networks can harness stochasticity in multiple ways to enable a vast class of computationally powerful models. Electronic implementation of such stochastic networks is currently limited to addition of algorithmic noise to…

新兴技术 · 计算机科学 2018-03-30 Abhinav Parihar , Matthew Jerry , Suman Datta , Arijit Raychowdhury

Under a high frequency drive, Josephson junctions demonstrate "Shapiro steps" of quantized voltage. These are dynamically stabilized states, in which the phase across the junction locks to the external drive. We explore the stochastic…

It has been proposed that neural noise in the cortex arises from chaotic dynamics in the balanced state: in this model of cortical dynamics, the excitatory and inhibitory inputs to each neuron approximately cancel, and activity is driven by…

无序系统与神经网络 · 物理学 2017-04-28 Nimrod Shaham , Yoram Burak

Competition between synapses arises in some forms of correlation-based plasticity. Here we propose a game theory-inspired model of synaptic interactions whose dynamics is driven by competition between synapses in their weak and strong…

无序系统与神经网络 · 物理学 2011-10-19 Ajaz Ahmad Bhat , Gaurang Mahajan , Anita Mehta

Recent advances in associative memory design through structured pattern sets and graph-based inference algorithms have allowed reliable learning and recall of an exponential number of patterns. Although these designs correct external errors…

神经与进化计算 · 计算机科学 2014-03-14 Amin Karbasi , Amir Hesam Salavati , Amin Shokrollahi , Lav R. Varshney

It is shown that long term behavior of two connected Integrate- and- Fire neurons with excitatory synapses is determined by some fixed-points. In the case of equal synaptic weights four different dynamic phases are found. Between these…

无序系统与神经网络 · 物理学 2007-05-23 Yasser Roudi , Shahin Rouhani

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · 物理学 2009-10-31 Sitabhra Sinha

Neuromorphic computing is a brainlike information processing paradigm that requires adaptive learning mechanisms. A spiking neuro-evolutionary system is used for this purpose; plastic resistive memories are implemented as synapses in…

神经与进化计算 · 计算机科学 2015-05-19 Gerard David Howard , Larry Bull , Ben de Lacy Costello , Andrew Adamatzky , Ella Gale

The retrieval capabilities of associative neural networks can be impaired by different kinds of noise: the fast noise (which makes neurons more prone to failure), the slow noise (stemming from interference among stored memories), and…

无序系统与神经网络 · 物理学 2020-12-10 Elena Agliari , Giordano De Marzo

Noise appears in the brain due to various sources, such as ionic channel fluctuations and synaptic events. They affect the activities of the brain and influence neuron action potentials. Stochastic differential equations have been used to…