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The study of synchronization in biological systems is essential for the understanding of the rhythmic phenomena of living organisms at both molecular and cellular levels. In this paper, by using simple dynamical systems theory, we present a…

Molecular Networks · Quantitative Biology 2007-05-23 Chunguang Li , Luonan Chen , Kazuyuki Aihara

Inspired by the observation of a distributed time delay in the nonlinear response of an optical resonator, we investigate the effects of a similar delay on a noise-driven mechanical oscillator. For a delay time that is commensurate with the…

Optics · Physics 2022-02-16 K. J. H. Peters , S. R. K. Rodriguez

We have investigated the dynamics of quantum discord and entanglement for two qubits subject to independent global transverse and/or longitudinal memoryless noisy classical fields. Global transverse and/or longitudinal random fields are…

Quantum Physics · Physics 2012-11-28 Ferdi Altintas , Arzu Kurt , Resul Eryigit

Structured state-space models (SSMs) have been developed to offer more persistent memory retention than traditional recurrent neural networks, while maintaining real-time inference capabilities and addressing the time-complexity limitations…

Machine Learning · Computer Science 2025-09-09 Takashi Morita

In this review we discuss the persistence and the related first-passage properties in extended many-body nonequilibrium systems. Starting with simple systems with one or few degrees of freedom, such as random walk and random acceleration…

Statistical Mechanics · Physics 2013-06-26 Alan J. Bray , Satya N. Majumdar , G. Schehr

This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

Dynamical Systems · Mathematics 2014-11-04 Ugo Galvanetto , Luca Magri

Quantum annealing leverages quantum tunneling for non-local searches, thereby minimizing memory effects that typically arise from metastabilities. Nonetheless, recent work has demonstrated robust hysteresis in large-scale transverse-field…

Quantum Physics · Physics 2025-07-25 Frank Barrows , Elijah Pelofske , Pratik Sathe , Francesco Caravelli , Cristiano Nisoli

We use continuous, stochastic quantum trajectories within a framework of quantum state diffusion (QSD) to describe alternating measurements of two non-commuting observables. Projective measurement of an observable completely destroys memory…

Quantum Physics · Physics 2024-09-24 Sophia M. Walls , Ian J. Ford

Dense suspensions of hard particles in a Newtonian liquid can be jammed by shear when the applied stress exceeds a certain threshold. However, this jamming transition from a fluid into a solidified state cannot be probed with conventional…

Soft Condensed Matter · Physics 2019-12-18 Endao Han , Nicole M. James , Heinrich M. Jaeger

Asynchrony, overlaps and delays in sensory-motor signals introduce ambiguity as to which stimuli, actions, and rewards are causally related. Only the repetition of reward episodes helps distinguish true cause-effect relationships from…

Neural and Evolutionary Computing · Computer Science 2014-09-10 Andrea Soltoggio

Humans can learn individual episodes and generalizable rules and also successfully retain both kinds of acquired knowledge over time. In the cognitive science literature, (1) learning individual episodes and rules and (2) learning and…

Artificial Intelligence · Computer Science 2024-07-09 Joshua T. S. Hewson , Sabina J. Sloman , Marina Dubova

A disordered material that cannot relax to equilibrium, such as an amorphous or glassy solid, responds to deformation in a way that depends on its past. In experiments we train a 2D athermal amorphous solid with oscillatory shear, and show…

Soft Condensed Matter · Physics 2020-01-28 Nathan C. Keim , Jacob Hass , Brian Kroger , Devin Wieker

Can a neural network trained by the time series of system A be used to predict the evolution of system B? This problem, knowing as transfer learning in a broad sense, is of great importance in machine learning and data mining, yet has not…

Neural and Evolutionary Computing · Computer Science 2021-02-23 Yali Guo , Han Zhang , Liang Wang , Huawei Fan , Xingang Wang

Quantum memory effects can be induced even when the degrees of freedom associated to the environment are not affected at all during the system evolution. In this paper, based on a bipartite representation of the system-environment dynamics,…

Quantum Physics · Physics 2022-01-03 Adrián A. Budini

Traffic flows are studied in terms of their noise of sound, which is an easily accessible experimental quantity. The sound noise data is studied making use of scaling properties of wavelet transforms and Hurst exponents are extracted. The…

Data Analysis, Statistics and Probability · Physics 2009-11-11 B. -S. Skagerstam , A. Hansen

Animals rely on different decision strategies when faced with ambiguous or uncertain cues. Depending on the context, decisions may be biased towards events that were most frequently experienced in the past, or be more explorative. A…

Neurons and Cognition · Quantitative Biology 2023-05-10 Younes Bouhadjar , Dirk J. Wouters , Markus Diesmann , Tom Tetzlaff

When we experience an event, it feels like our previous experiences, our interpretations of that event (e.g., aesthetics, emotions), and our current state will determine how we will remember it. However, recent work has revealed a strong…

Neurons and Cognition · Quantitative Biology 2021-04-15 Wilma A. Bainbridge

The authors previously introduced an activation model for the onset of shear thickening in electrically stabilized colloidal suspensions. It predicts that shear thickening occurs, when particles arranged along the compression axis in a…

Soft Condensed Matter · Physics 2012-07-12 Joachim Kaldasch , Bernhard Senge , Jozua Laven

We present a new paradigm in the study of brain mental dynamics on the basis of the stable transient activity neural networks observed in experiments. This new approach is in contrast to traditional system analysis usually adopted in…

Adaptation and Self-Organizing Systems · Physics 2009-09-08 Mikhail I. Rabinovich , Mehmet K. Muezzinoglu

Dynamics of a system in general depends on its initial state and how the system is driven, but in many-body systems the memory is usually averaged out during evolution. Here, interacting quantum systems without external relaxations are…

Quantum Gases · Physics 2017-09-27 Chen-Yen Lai , Chih-Chun Chien