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In this paper, we study the phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a group of non-mobile agents form either a fixed connected…

Optimization and Control · Mathematics 2008-10-21 Jialing Liu , Vikas Yadav , Hullas Sehgal , Joshua M. Olson , Haifeng Liu , Nicola Elia

We investigated the 1/f noise of Pt/NiO/Pt capacitors that show unipolar resistance switching. When they were switched from the low to high resistance states, the power spectral density of the voltage fluctuation was increased by…

Materials Science · Physics 2015-05-13 S. B. Lee , S. Park , J. S. Lee , S. C. Chae , S. H. Chang , M. H. Jung , Y. Jo , B. Kahng , B. S. Kang , M. -J. Lee , T. W. Noh

We consider systems that are well modelled as a networks that evolve in time, which we call {\it Moving Neighborhood Networks}. These models are relevant in studying cooperative behavior of swarms and other phenomena where emergent…

Chaotic Dynamics · Physics 2007-05-23 Joseph D. Skufca , Erik M. Bollt

The phenomenon of spontaneous synchronization arises in a broad range of systems when the mutual interaction strength among components overcomes the effect of detuning. Recently it has been studied also in the quantum regime with a variety…

Quantum Physics · Physics 2019-07-17 Gian Luca Giorgi , Albert Cabot , Roberta Zambrini

Synchronization across long neural distances is a functionally important phenomenon. In order to access the mechanistic basis of long-range synchrony, we constructed an experimental model that enables monitoring of spiking activities over…

Neurons and Cognition · Quantitative Biology 2018-02-23 Hanna Keren , Shimon Marom

While resistors with memory, sometimes called memristive elements (such as ReRAM cells), are often studied under conditions of periodic driving, little attention has been paid to the Fourier features of their memory response (hysteresis).…

Applied Physics · Physics 2023-10-03 Y. V. Pershin , C. -C. Chien , M. Di Ventra

Hysteresis in the current-voltage characteristic in a superconducting nanowire reflects an underlying bistability. As the current is ramped up repeatedly, the state switches from a superconductive to a resistive one, doing so at random…

Superconductivity · Physics 2009-01-07 Nayana Shah , David Pekker , Paul M. Goldbart

Many real-world systems can be modeled as networks of interacting oscillatory units. Collective dynamics that are of functional relevance for the oscillator network, such as switching between metastable states, arise through the interplay…

Dynamical Systems · Mathematics 2019-08-05 Christian Bick

In many dynamical systems in nature, the law of the dynamics changes along with the temporal evolution of the system. These changes are often associated with the occurrence of certain events. The timing of occurrence of these events…

Probability · Mathematics 2021-07-12 S. Gallo , G. Iacobelli , G. Ost , D. Y. Takahashi

This work proposes a switched model reference adaptive control (S-MRAC) architecture for a multi-input multi-output (MIMO) switched linear system with memory for enhanced learning. A salient feature of the proposed method that separates it…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Pritesh Patel , Sayan Basu Roy , Shubhendu Bhasin

Simple nonlinear dynamical systems with multiple stable stationary states are often taken as models for switchlike biological systems. This paper considers the interaction of multiple such simple multistable systems when they are embedded…

Quantitative Methods · Quantitative Biology 2008-04-10 Dennis Cates Wylie

Synchronization is an omnipresent collective phenomenon in nature and technology, whose understanding is in particular for real-world systems still elusive. We study the synchronization transition in a phase oscillator system with two…

Adaptation and Self-Organizing Systems · Physics 2023-08-02 Rico Berner , Annie Lu , Igor M. Sokolov

Memristive neural networks (MNNs), which use memristors as neurons or synapses, have become a hot research topic recently. However, most memristors are not compatible with mainstream integrated circuit technology and their stabilities in…

Emerging Technologies · Computer Science 2019-01-03 Zhiri Tang , Ruohua Zhu , Peng Lin , Jin He , Hao Wang , Qijun Huang , Sheng Chang , Qiming Ma

Memristors are continuously tunable resistors that emulate synapses. Conceptualized in the 1970s, they traditionally operate by voltage-induced displacements of matter, but the mechanism remains controversial. Purely electronic memristors…

The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a…

Dynamical Systems · Mathematics 2009-11-13 Ernest Barreto , Brian Hunt , Edward Ott , Paul So

Switched systems are capable of modeling processes with underlying dynamics that may change abruptly over time. To achieve accurate modeling in practice, one may need a large number of modes, but this may in turn increase the model…

Systems and Control · Electrical Eng. & Systems 2022-10-24 Zhe Du , Laura Balzano , Necmiye Ozay

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

We study the effect of external noise on resistive switching. Experimental results on a manganite sample are presented showing that there is an optimal noise amplitude that maximizes the contrast between high and low resistive states. By…

Mesoscale and Nanoscale Physics · Physics 2013-08-16 G. A. Patterson , P. I. Fierens , D. F. Grosz

Characterizing the in uence of network properties on the global emerging behavior of interacting elements constitutes a central question in many areas, from physical to social sciences. In this article we study a primary model of disordered…

Disordered Systems and Neural Networks · Physics 2013-10-08 Luis Carlos Garcidel Molino , Khashayar Pakdaman , Jonathan Touboul , Gilles Wainrib

In randomly connected networks of pulse-coupled elements a time-dependent input signal can be buffered over a short time. We studied the signal buffering properties in simulated networks as a function of the networks state, characterized by…

Neurons and Cognition · Quantitative Biology 2009-11-11 Julien Mayor , Wulfram Gerstner