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The resistance state of filamentary memristors can be tuned by relocating only a few atoms at interatomic distances in the active region of a conducting filament. Thereby the technology holds promise not only in its ultimate downscaling…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 Miklós Csontos , Yannik Horst , Nadia Jimenez Olalla , Ueli Koch , Ivan Shorubalko , András Halbritter , Juerg Leuthold

We consider the coupling between two networks, each having N nodes whose individual dynamics is modeled by a two-state master equation. The intra-network interactions are all to all, whereas the inter-network interactions involve only a…

Adaptation and Self-Organizing Systems · Physics 2015-08-14 Malgorzata Turalska , Adam Svenkeson , Bruce J. West

A practical problem for memory applications involving perpendicularly magnetized magnetic tunnel junctions is the reliability of switching characteristics at high-bias voltage. Often it has been observed that at high-bias, additional error…

Mesoscale and Nanoscale Physics · Physics 2019-07-29 Christopher Safranski , Jonathan Z. Sun

The response of a neuron to synaptic input strongly depends on whether or not it has just emitted a spike. We propose a neuron model that after spike emission exhibits a partial response to residual input charges and study its collective…

Neurons and Cognition · Quantitative Biology 2010-06-04 Christoph Kirst , Theo Geisel , Marc Timme

In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

We present an analytical framework that allows the quantitative study of statistical dynamic properties of networks with adaptive nodes that have memory and is used to examine the emergence of oscillations in networks with response…

Neurons and Cognition · Quantitative Biology 2017-07-18 Amir Goldental , Herut Uzan , Shira Sardi , Ido Kanter

Onset and loss of synchronization in coupled oscillators are of fundamental importance in understanding emergent behavior in natural and man-made systems, which range from neural networks to power grids. We report on experiments with…

Adaptation and Self-Organizing Systems · Physics 2020-10-14 Dumitru Călugăru , Jan Frederik Totz , Erik A. Martens , Harald Engel

Rhythmic activities that alternate between coherent and incoherent phases are ubiquitous in chemical, ecological, climate, or neural systems. Despite their importance, general mechanisms for their emergence are little understood. In order…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Max Thiele , Rico Berner , Peter A. Tass , Eckehard Schöll , Serhiy Yanchuk

Autonomous randomly coupled neural networks display a transition to chaos at a critical coupling strength. We here investigate the effect of a time-varying input on the onset of chaos and the resulting consequences for information…

Neurons and Cognition · Quantitative Biology 2018-11-21 Jannis Schuecker , Sven Goedeke , Moritz Helias

In this paper, we study a system of two Rossler oscillators coupled through a time-varying link, periodically switching between two values. We analyze the system behavior with respect to the frequency of the switching. By applying an…

We consider synchronization of coupled dynamical systems when different types of interactions are simultaneously present. We assume that a set of dynamical systems are coupled through the connections of two or more distinct networks (each…

Chaotic Dynamics · Physics 2015-05-28 Francesco Sorrentino

The experimental study of neural networks requires simultaneous measurements of a massive number of neurons, while monitoring properties of the connectivity, synaptic strengths and delays. Current technological barriers make such a mission…

Neurons and Cognition · Quantitative Biology 2016-01-12 Amir Goldental , Pinhas Sabo , Shira Sardi , Roni Vardi , Ido Kanter

Multistability-induced hysteresis has been widely studied in mechanical systems, but such behavior has proven more difficult to reproduce experimentally in flow networks. Natural flow networks like animal and plant vasculature can exhibit…

Soft Condensed Matter · Physics 2025-12-03 Lauren E. Altman , Nadia Aguilar , Douglas J. Durian , Miguel Ruiz-Garcia , Eleni Katifori

The emergence of explosive collective phenomena has recently attracted much attention due to the discovery of an explosive percolation transition in complex networks. In this Letter, we demonstrate how an explosive transition shows up in…

Statistical Mechanics · Physics 2011-07-01 Jesus Gomez-Gardenes , Sergio Gomez , Alex Arenas , Yamir Moreno

Resistance switching memory cells such as electrochemical metallization cells and valence change mechanism cells have the potential to revolutionize information processing and storage. However, the creation of deterministic resistance…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 V. A. Slipko , Y. V. Pershin

Memristive devices are commonly benchmarked by the multi-level programmability of their resistance states. Neural networks utilizing memristor crossbar arrays as synaptic layers largely rely on this feature. However, the dynamical…

This article presents a spiking neuroevolutionary system which implements memristors as plastic connections, i.e. whose weights can vary during a trial. The evolutionary design process exploits parameter self-adaptation and variable…

Emerging Technologies · Computer Science 2012-12-17 Gerard Howard , Ella Gale , Larry Bull , Ben de Lacy Costello , Andy Adamatzky

We study switching among multiple square selections of output functions (melds) drawn from a deck of candidate outputs for nonlinear systems that are static feedback linearizable via outputs. Fixing an operating point, each meld induces a…

Robotics · Computer Science 2026-02-24 Mirko Mizzoni , Pieter van Goor , Barbara Bazzana , Antonio Franchi

Randomly evolving systems composed by elements which interact among each other have always been of great interest in several scientific fields. This work deals with the synchronization phenomenon, that could be roughly defined as the…

Probability · Mathematics 2017-12-18 Giacomo Aletti , Irene Crimaldi , Andrea Ghiglietti

We report on the origin of synchronized bursting dynamics in various networks of neural spiking oscillators, when a certain threshold in coupling strength is exceeded. These ensembles synchronize at relatively low coupling strength and lose…

Chaotic Dynamics · Physics 2007-05-23 Mikhail V. Ivanchenko , Grigory V. Osipov , Vladimir D. Shalfeev , Jurgen Kurths