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In biological systems, information is frequently transferred with Poisson like spike processes (shot noise) modulated in time by information-carrying signals. How then to quantify information transfer for the output for such nonstationary…

Biological Physics · Physics 2009-06-19 Igor Goychuk , Peter Hanggi

We investigate the effect of memory on a chaotic system experimentally and theoretically. For this purpose, we use Chua's oscillator as an electrical model system showing chaotic dynamics extended by a memory element in form of a…

We discuss the two-dimensional motion of a Brownian particle that is confined to a harmonic trap and driven by a shear flow. The surrounding medium induces memory effects modelled by a linear, typically nonreciprocal coupling of the…

Statistical Mechanics · Physics 2024-04-26 Lea Fernandez , Siegfried Hess , Sabine H. L. Klapp

Memory effects in amorphous materials have been widely studied because of their possible widespread future applications. We show here that ultrastable glasses can exhibit a transient reversible memory effect when subjected to both a local…

Soft Condensed Matter · Physics 2025-05-15 Rashmi Priya , Smarajit Karmakar

We consider binary infinite order stochastic chains perturbed by a random noise. This means that at each time step, the value assumed by the chain can be randomly and independently flipped with a small fixed probability. We show that the…

Probability · Mathematics 2007-07-20 Pierre Collet , Antonio Galves , Florencia G. Leonardi

Brownian dynamics simulations of bidisperse hard discs moving in two dimensions in a given steady and homogeneous shear flow are presented close to and above the glasstransition density. The stationary structure functions and stresses of…

Soft Condensed Matter · Physics 2010-01-20 O. Henrich , F. Weysser , M. E. Cates , M. Fuchs

This paper develops the first class of algorithms that enable unbiased estimation of steady-state expectations for multidimensional reflected Brownian motion. In order to explain our ideas, we first consider the case of compound Poisson…

Probability · Mathematics 2015-10-27 Jose Blanchet , Xinyun Chen

The stochastic trajectories of molecules in living cells, as well as the dynamics in many other complex systems, often exhibit memory in their path over long periods of time. In addition, these systems can show dynamic heterogeneities due…

Statistical Mechanics · Physics 2024-07-10 Michał Balcerek , Agnieszka Wyłomańska , Krzysztof Burnecki , Ralf Metzler , Diego Krapf

Resistive memories are outstanding electron devices that have displayed a large potential in a plethora of applications such as nonvolatile data storage, neuromorphic computing, hardware cryptography, etc. Their fabrication control and…

Data-driven predictive analytics are in use today across a number of industrial applications, but further integration is hindered by the requirement of similarity among model training and test data distributions. This paper addresses the…

Machine Learning · Computer Science 2017-10-20 Yunwen Xu , Rui Xu , Weizhong Yan , Paul Ardis

We give an example of a sequential dynamical system consisting of intermittent-type maps which exhibits loss of memory with a polynomial rate of decay. A uniform bound holds for the upper rate of memory loss. The maps may be chosen in any…

Dynamical Systems · Mathematics 2014-10-31 R. Aimino , H. Hu , M. Nicol , A. Torok , S. Vaienti

As humans learn new skills and apply their existing knowledge while maintaining previously learned information, "continual learning" in machine learning aims to incorporate new data while retaining and utilizing past knowledge. However,…

Robotics · Computer Science 2025-07-29 Hanne Say , Suzan Ece Ada , Emre Ugur , Minoru Asada , Erhan Oztop

Disordered and amorphous materials often retain memories of perturbations they have experienced since preparation. Studying such memories is a gateway to understanding this challenging class of systems, yet it often requires the ability to…

Soft Condensed Matter · Physics 2023-02-21 Dor Shohat , Yoav Lahini

We derive a non-Markovian theory for waiting time distributions of consecutive single electron transfer events. The presented microscopic Pauli rate equation formalism couples the open electrodes to the many-body system, allowing to take…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Sven Welack , YiJing Yan

The increasing capacity of modern computers, driven by Moore's Law, is accompanied by smaller noise margins and higher error rates. In this paper we propose a memory device, consisting of a ring of two identical overdamped bistable…

Adaptation and Self-Organizing Systems · Physics 2009-11-05 S. A. Ibáñez , P. I. Fierens , G. A. Patterson , R. P. J. Perazzo , D. F. Grosz

We report an experimental evidence of a global bifurcation on a highly turbulent von Karman flow. The mean flow presents multiple solutions: the canonical symmetric solution becomes marginally unstable towards a flow which breaks the basic…

Fluid Dynamics · Physics 2009-11-10 Florent Ravelet , Louis Marie , Arnaud Chiffaudel , Francois Daviaud

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…

Disordered Systems and Neural Networks · Physics 2017-04-28 Nimrod Shaham , Yoram Burak

Stochastic systems with memory naturally appear in life science, economy, and finance. We take the modelling point of view of stochastic functional delay equations and we study these structures when the driving noises admit jumps. Our…

Probability · Mathematics 2016-06-01 D. R. Baños , F. Cordoni , G. Di Nunno , L. Di Persio , E. E. Røse

Perceptual learning enables humans to recognize and represent stimuli invariant to various transformations and build a consistent representation of the self and physical world. Such representations preserve the invariant physical relations…

Neural and Evolutionary Computing · Computer Science 2020-07-02 Du Xiaorui , Yavuzhan Erdem , Immanuel Schweizer , Cristian Axenie

We study discrete time linear constrained switching systems with additive disturbances, in which the switching may be on the system matrices, the disturbance sets, the state constraint sets or a combination of the above. In our general…

Systems and Control · Computer Science 2017-02-03 Nikolaos Athanasopoulos , Konstantinos Smpoukis , Raphael M. Jungers
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