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Any repeated use of a fixed experimental instrument is subject to memory effects. We design an estimation method uncovering the details of the underlying interaction between the system and the internal memory without having any experimental…

Quantum Physics · Physics 2015-10-21 Tomas Rybar , Mario Ziman

Persistent neural activity associated with working memory (WM) lasts for a limited time duration. Current theories suggest that its termination is \textit{actively} obtained via inhibitory currents, and there is currently no theory…

Neurons and Cognition · Quantitative Biology 2024-02-05 Hillel Sanhedrai , Shlomo Havlin , Hila Dvir

We investigate hysteresis effects in a model for non-volatile memory devices. Two mechanisms are found to produce hysteresis effects qualitatively similar to those often experimentally observed in heterostructures of transition metal…

Strongly Correlated Electrons · Physics 2007-05-23 Marcelo J. Rozenberg , Isao H. Inoue , Maria Jose Sanchez

A stochastic model of short-term verbal memory is proposed, in which the psychological state of the subject is encoded as the instantaneous position of a particle diffusing over a semantic graph with a probabilistic structure. The model is…

Neurons and Cognition · Quantitative Biology 2017-03-22 Francesco Fumarola

Identification of a linear time-invariant dynamical system from partial observations is a fundamental problem in control theory. Particularly challenging are systems exhibiting long-term memory. A natural question is how learn such systems…

Machine Learning · Computer Science 2022-03-08 Holden Lee

Self-propelled particles undergoing persistent motion can accumulate either through excluded-volume interactions or through quorum sensing, where self-propulsion decreases at high local density. Using kinetic balance theory and simulations,…

Soft Condensed Matter · Physics 2025-12-03 L. de Souza , E. F. Teixeira , G. M. Viswanathan , P. Sollich , P. de Castro

In this paper, we introduce the concept of random time changes in dynamical systems. The sub- ordination principle may be applied to study the long time behavior of the random time systems. We show, under certain assumptions on the class of…

Dynamical Systems · Mathematics 2021-08-21 R. Capuani , L. Di Persio , Y. Kondratiev , M. Ricciardi , J. L. da Silva

We consider the evolution of logistic maps under long-term memory. The memory effects are characterized by one parameter \alpha. If it equals to zero, any memory is absent. This leads to the ordinary discrete dynamical systems. For \alpha =…

Chaotic Dynamics · Physics 2011-11-15 Aleksander Stanislavsky

We demonstrate the existence of unconventional rheological and memory properties in systems of soft-deformable particles whose energy depends on their shape, via numerical simulations. At large strains, these systems experience an…

Soft Condensed Matter · Physics 2021-08-16 Anshuman Pasupalak , Shawn Khuhan Samidurai , Yanwei Li , Yuanjian Zheng , Ran Ni , Massimo Pica Ciamarra

We consider the correlations and the hydrodynamic description of random walkers with a general finite memory moving on a $d$ dimensional hypercubic lattice. We derive a drift-diffusion equation and identify a memory-dependent critical…

Statistical Mechanics · Physics 2020-01-29 Eial Teomy , Ralf Metzler

Biological molecular machines are enzymes that simultaneously catalyze two processes, one donating free energy and second accepting it. Recent studies show that most native protein enzymes have a rich stochastic dynamics that often…

Biological Physics · Physics 2018-12-21 Michal Kurzynski , Przemyslaw Chelminiak

We discuss memory effects in the conductance of hopping insulators due to slow rearrangements of many-electron clusters leading to formation of polarons close to the electron hopping sites. An abrupt change in the gate voltage and…

Disordered Systems and Neural Networks · Physics 2009-11-13 V. I. Kozub , Y. M. Galperin , V. Vinokur , A. L. Burin

It is shown that due to memory effects the complex behaviour of components in a stochastic system can be transmitted to macroscopic evolution of the system as a whole. Within the Markov approximation widely using in ordinary statistical…

adap-org · Physics 2009-10-30 A. A. Stanislavsky

Reinforcement Learning faces an important challenge in partial observable environments that has long-term dependencies. In order to learn in an ambiguous environment, an agent has to keep previous perceptions in a memory. Earlier memory…

Machine Learning · Computer Science 2023-02-22 Alper Demir

Learning and memory relies on synapses changing their strengths in response to neural activity. However there is a substantial gap between the timescales of neural electrical dynamics (1-100 ms) and organism behaviour during learning…

Neurons and Cognition · Quantitative Biology 2023-08-08 Cian O'Donnell

We explore the concept of memory in scalar active matter, focusing on the collective dynamics of particles whose interactions depend on their evolutionary history rather than solely on their current configuration. We introduce the idea of…

Soft Condensed Matter · Physics 2026-03-25 Vaishnavi Gajendragad , Suropriya Saha

Using a result of Behrend concerning sets without arithmetic progressions, we construct some examples of dynamical systems with slow time of multiple recurrence. Our theorem is a quatitative analog of Furstenberg's Correspondence Principle.

Dynamical Systems · Mathematics 2015-06-26 I. Shkredov

We investigate temporal correlations in the simplest measurement scenario, i.e., that of a physical system on which the same measurement is performed at different times, producing a sequence of dichotomic outcomes. The resource for…

Quantum Physics · Physics 2022-01-19 Lucas B. Vieira , Costantino Budroni

Deficits in working memory, which includes both the ability to learn and to retain information short-term, are a hallmark of many cognitive disorders. Our study analyzes data from a neuroscience experiment on animal subjects, where…

Applications · Statistics 2025-12-23 Maria Laura Battagliola , Laura J. Benoit , Sarah Canetta , Shizhe Zhang , R. Todd Ogden

This paper argues that self-awareness is a learned behavior that emerges in organisms whose brains have a sufficiently integrated, complex ability for associative learning and memory. Continual sensory input of information related to the…

Neurons and Cognition · Quantitative Biology 2007-06-13 Emmanuel Tannenbaum