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Recurrent networks are a special class of artificial neural systems that use their internal states to perform computing tasks for machine learning. One of its state-of-the-art developments, i.e. reservoir computing (RC), uses the internal…

Disordered Systems and Neural Networks · Physics 2022-11-02 Valeria d'Andrea , Michele Puppin , Manlio De Domenico

In this paper, the replicator dynamics of the two-locus two-allele system under weak mutation and weak selection is investigated in a generation-wise non-overlapping unstructured population of individuals mating at random. Our main finding…

Populations and Evolution · Quantitative Biology 2023-04-04 Suman Chakraborty , Sagar Chakraborty

The flow in a Hele-Shaw cell with a time-increasing gap poses a unique shrinking interface problem. When the upper plate of the cell is lifted perpendicularly at a prescribed speed, the exterior less viscous fluid penetrates the interior…

Fluid Dynamics · Physics 2021-01-20 Meng Zhao , Zahra Niroobakhsh , John Lowengrub , Shuwang Li

We investigate the dynamical properties of a superfluid gas of trapped fermionic atoms in the BCS phase. As a simple example we consider the reaction of the gas to a slow rotation of the trap. It is shown that the currents generated by the…

Other Condensed Matter · Physics 2009-11-10 Michael Urban

Nonlinear dynamics of a trapped Bose-Einstein condensate, subject to the action of a resonant external field, is studied. This field produces a spatio-temporal modulation of the trapping potential with the frequency close to the transition…

Condensed Matter · Physics 2015-06-24 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

High-speed stereo PIV-measurements have been performed in a turbulent boundary layer at Re$_{\theta}$ of 9800 in order to elucidate the coherent structures. Snapshot proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD)…

Fluid Dynamics · Physics 2017-04-14 Naseem Ali , Murat Tutkun , Raúl Bayoán Cal

Both the group velocity and phase velocity of two solitons can be synchronized by a Kerr-effect mediated interaction, causing what is known as soliton trapping. Trapping can occur when solitons travel through single-pass optical fibers or…

Sensory stimuli in animals are encoded into spike trains by neurons, offering advantages such as sparsity, energy efficiency, and high temporal resolution. This paper presents a signal processing framework that deterministically encodes…

Neural and Evolutionary Computing · Computer Science 2024-08-15 Anik Chattopadhyay , Arunava Banerjee

This work presents a population genetic model of evolution, which includes haploid selection, mutation, recombination, and drift. The mutation-selection equilibrium can be expressed exactly in closed form for arbitrary fitness functions…

Populations and Evolution · Quantitative Biology 2023-02-28 Jenny M. Poulton , Lee Altenberg , Chris Watkins

Dynamical properties of two-component mass-imbalanced few-fermion systems confined in a one-dimensional harmonic trap following a sudden quench of interactions are studied. It is assumed that initially the system is prepared in the…

Quantum Gases · Physics 2022-11-21 Dillip K. Nandy , Tomasz Sowiński

We study the trapping reaction-diffusion problem in a symmetric double well potential in one dimension with a static trap located at the middle of the central barrier of the double well. The effect of competition between the confinement and…

Statistical Mechanics · Physics 2014-12-09 Trilochan Bagarti , Kalyan Kundu

An emerging paradigm proposes that neural computations can be understood at the level of dynamical systems that govern low-dimensional trajectories of collective neural activity. How the connectivity structure of a network determines the…

Neurons and Cognition · Quantitative Biology 2021-05-28 Manuel Beiran , Alexis Dubreuil , Adrian Valente , Francesca Mastrogiuseppe , Srdjan Ostojic

Step strain experiments and dynamic light scattering measurements are perfomed to characterize the dynamic behavior of an o/w droplet microemulsion into which is incorporated a telechelic polymer. At sufficient droplet and polymer…

Soft Condensed Matter · Physics 2007-05-23 Eric Michel , Mohammed Filali , Raymond Aznar , Gregoire Porte , Jacqueline Appell

The Maxwell-Bloch system describes a quantum two-level medium interacting with a classical electromagnetic field by mediation of the the population density. This population density variation is a purely quantum effect which is actually at…

Pattern Formation and Solitons · Physics 2009-11-13 J. Leon , P. Anghel-Vasilescu , F. Ginovart , N. Allegra

Extensive molecular dynamics simulation studies of particles interacting via a short ranged attractive square-well (SW) potential are reported. The calculated loci of constant diffusion coefficient $D$ in the temperature-packing fraction…

Soft Condensed Matter · Physics 2009-11-07 G. Foffi , K. A. Dawson , S. V. Buldyrev , F. Sciortino , E. Zaccarelli , P. Tartaglia

High quality epitaxial Sr2IrO4 thin films with various thicknesses (9-300 nm) have been grown on SrTiO3 (001) substrates, and their electric transport properties have been investigated. All samples showed the expected insulating behavior…

Materials Science · Physics 2014-08-29 Chengliang Lu , Andy Quindeau , Hakan Deniz , Daniele Preziosi , Dietrich Hesse , Marin Alexe

The dynamics in a confined turbulent convection flow is dominated by multiple long-lived macroscopic circulation states, which are visited subsequently by the system in a Markov-type hopping process. In the present work, we analyze the…

Fluid Dynamics · Physics 2023-08-03 Priyanka Maity , Andreas Bittracher , Péter Koltai , Jörg Schumacher

Extreme deformation of soft matter is central to our understanding of the effects of shock, fracture, and phase change in a variety of systems. Yet, despite, the increasing interest in this area, far-from-equilibrium behaviours of soft…

Soft Condensed Matter · Physics 2020-07-07 Axel Huerre , Marco De Corato , Valeria Garbin

We revisit the classical population genetics model of a population evolving under multiplicative selection, mutation and drift. The number of beneficial alleles in a multi-locus system can be considered a trait under exponential selection.…

adap-org · Physics 2007-05-23 Magnus Rattray , Jonathan L. Shapiro

The presence of one or more species at some spatial locations but not others is a central matter in ecology. This phenomenon is related to ecological pattern formation. Nonlocal interactions can be considered as one of the mechanisms…

Populations and Evolution · Quantitative Biology 2017-12-29 Ozgur Aydogmus