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This paper presents a general framework for modeling dependence in multivariate time series. Its fundamental approach relies on decomposing each signal in a system into various frequency components and then studying the dependence…

Methodology · Statistics 2021-04-01 Hernando Ombao , Marco Pinto

Recently, frequency domain all-neural beamforming methods have achieved remarkable progress for multichannel speech separation. In parallel, the integration of time domain network structure and beamforming also gains significant attention.…

Sound · Computer Science 2022-12-27 Rongzhi Gu , Shi-Xiong Zhang , Yuexian Zou , Dong Yu

We study the overdamped version of two coupled anharmonic oscillators under the influence of both low- and high-frequency forces respectively and a Gaussian noise term added to one of the two state variables of the system. The dynamics of…

Chaotic Dynamics · Physics 2009-11-11 V. M. Gandhimathi , S. Rajasekar , J. Kurths

Biological systems are notoriously noisy. Noise, therefore, also plays an important role in many models of neural impulse generation. Noise is not only introduced for more realistic simulations but also to account for cooperative effects…

Neurons and Cognition · Quantitative Biology 2007-05-23 Martin Tobias Huber , Hans Albert Braun

Aims: This paper presents 2.5D numerical experiments of Alfv\'en wave phase mixing and aims to assess the effects of nonlinearities on wave behaviour and dissipation. In addition, this paper aims to quantify how effective the model…

Solar and Stellar Astrophysics · Physics 2019-04-17 Alexander Prokopyszyn , Alan Hood , Ineke De Moortel

The Hopfield model is a paradigmatic model of neural networks that has been analyzed for many decades in the statistical physics, neuroscience, and machine learning communities. Inspired by the manifold hypothesis in machine learning, we…

Disordered Systems and Neural Networks · Physics 2023-05-01 Matteo Negri , Clarissa Lauditi , Gabriele Perugini , Carlo Lucibello , Enrico Malatesta

The electrostatic interaction in ionic fluids is well-known to give rise to a characteristic phase behavior and structure. Sometimes its long range is proposed to single out the electrostatic potential over other interactions with shorter…

Soft Condensed Matter · Physics 2015-05-05 Hendrik Bartsch , Oliver Dannenmann , Markus Bier

To model biological systems using networks, it is desirable to allow more than two levels of expression for the nodes and to allow the introduction of parameters. Various modeling and simulation methods addressing these needs using Boolean…

Molecular Networks · Quantitative Biology 2014-04-23 Yi Ming Zou

The generation of mode-2 nonlinear internal waves (IWs) by the evolution of a mode-1 IW in a two-dimensional stratification is investigated. A generation model accounting for intermodal interaction is derived based on a multi-modal approach…

Atmospheric and Oceanic Physics · Physics 2018-08-08 JianJun Liang , Tao Du , Xiao-Ming Li , Ming-Xia He

Inertia amplification is a mechanism coupling degrees of freedom within a vibrating structure. Its goal is to achieve an apparent high dynamic mass and, accordingly, a low resonance frequency. Such structures have been described for use in…

Linear electromagnetic wave scattering systems can be characterized by an impedance matrix that relates the voltages and currents at the ports of the system. When the system size becomes greater than the wavelength of the fields involved,…

Chaotic Dynamics · Physics 2026-01-29 Nadav Shaibe , Jared Erb , Thomas M. Antonsen , Steven M. Anlage

The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal…

Applied Physics · Physics 2018-03-08 Amit Dolev , Izhak Bucher

We investigate how varying two microscopic parameters - cell volume and the ratio between repulsion and attraction intensities - affect the phase behavior of a cell model with a Curie-Weiss-type interaction. The analysis is based on an…

Statistical Mechanics · Physics 2025-05-30 O. A. Dobush , M. P. Kozlovskii , I. V. Pylyuk , Yu. O. Plevachuk

Among the statistical models employed to approximate nonlinear interactions in biological and psychological processes, one prominent framework is that of cascades. Despite decades of empirical work using multifractal formalisms, a…

Adaptation and Self-Organizing Systems · Physics 2024-01-11 Madhur Mangalam , Damian G Kelty-Stephen

Based on the numerical solution non-stationary Ginzburg-Landau equations, we investigated the evolution of the order parameter of superconducting channels with different lengths under applied voltage (so-called voltage-driven regime). We…

Superconductivity · Physics 2013-04-03 Y. S. Yerin , V. N. Fenchenko , E. Il'ichev

By use of a stochastic generalization of the Hodgkin-Huxley model we investigate both the phenomena of stochastic resonance (SR) and coherence resonance (CR) in variable size patches of an excitable cell membrane. Our focus is on the…

Biological Physics · Physics 2007-05-23 G. Schmid , I. Goychuk , P. Hänggi

A huge difference in the harmonic yield from the two topological phases of finite, dimerizing linear chains in laser fields has recently been observed in all-electron time-dependent density functional simulations [D. Bauer, K.K. Hansen,…

Atomic Physics · Physics 2024-01-10 Helena Drüeke , Dieter Bauer

The response of a neural cell to an external stimulus can follow one of the two patterns: Nonresonant neurons monotonously relax to the resting state after excitation while resonant ones show subthreshold oscillations. We investigate how do…

Neurons and Cognition · Quantitative Biology 2009-11-10 T. Verechtchaguina , L. Schimansky-Geier , I. M. Sokolov

The paper highlights the role of a positive feedback gating mechanism at the cellular level in the robust- ness and modulation properties of rhythmic activities at the circuit level. The results are presented in the context of half-center…

Neurons and Cognition · Quantitative Biology 2014-12-22 Julie Dethier , Guillaume Drion , Alessio Franci , Rodolphe Sepulchre

We investigate the perturbation dynamics in a supersonic shear layer using a combination of large-eddy simulations (LES) and linear-operator-based input-output analysis. The flow consists of two streams-a main stream (Mach 1.23) and a…

Fluid Dynamics · Physics 2024-07-26 Mitesh Thakor , Yiyang Sun , Datta V. Gaitonde