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The excitation spectrum of the density collective oscillations is computed for multi-component molecular mixtures both with Coulomb and (repulsive) short-range interactions. Distinct sound-like excitations appear, governed by the…

Statistical Mechanics · Physics 2008-03-21 M. Apostol

We investigate heterogeneous coupling delays in complex networks of excitable elements described by the FitzHugh-Nagumo model. The effects of discrete as well as of uni- and bimodal continuous distributions are studied with a focus on…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Caglar Cakan , Judith Lehnert , Eckehard Schöll

We study the evolution of heterogeneous networks of oscillators subject to a state-dependent interconnection rule. We find that heterogeneity in the node dynamics is key in organizing the architecture of the functional emerging networks. We…

Adaptation and Self-Organizing Systems · Physics 2015-07-27 Francesco Scafuti , Takaaki Aoki , Mario di Bernardo

We analyze a class of chemical reaction networks under mass-action kinetics and involving multiple time-scales, whose deterministic and stochastic models display qualitative differences. The networks are inspired by gene-regulatory…

Molecular Networks · Quantitative Biology 2018-01-30 Tomislav Plesa , Radek Erban , Hans G. Othmer

We investigate the modes of oscillation of heterogeneous ring-networks of quadratic integrate-and-fire neurons with non-local, space-dependent coupling. Perturbations of the equilibrium state with a particular wave number produce transient…

Neurons and Cognition · Quantitative Biology 2017-11-15 Jose M. Esnaola-Acebes , Alex Roxin , Daniele Avitabile , Ernest Montbrió

Noise has significant impact on nonlinear phenomena. Here we demonstrate that, in opposition to previous assumptions, additive noise interfere with the linear stability of scalar nonlinear systems when these are subject to time delay. We…

Dynamical Systems · Mathematics 2015-06-15 Jérémie Lefebvre , Axel Hutt

While interference in time domain (caused by path difference) is mitigated by OFDM modulation, interference in frequency domain (due to velocity difference), can be mitigated by OTFS modulation. However, in non-stationary channels, the…

Information Theory · Computer Science 2023-09-01 Zhibin Zou , Aveek Dutta

The apparent stability of population oscillations in ecological systems is a long-standing puzzle. A generic solution for this problem is suggested here. The stabilizing mechanism involves the combined effect of spatial migration,…

Populations and Evolution · Quantitative Biology 2007-05-23 Refael Abta , Marcelo Schiffer , Avishag Ben-Ishay , Nadav M. Shnerb

Identifying and controlling decoherence in single electron sources (SES) is important for their applications in quantum information processing. The recent experiments with ultrashort electron pulses [J. D. Fletcher et al., Nat. Commun. 10,…

Mesoscale and Nanoscale Physics · Physics 2024-04-18 Sungguen Ryu , Rosa López , Llorenç Serra , David Sanchez , Michael Moskalets

We show that noise-induced oscillations in a gene circuit model display stochastic coherence, that is, a maximum in the regularity of the oscillations as a function of noise amplitude. The effect is manifest as a system-size effect in a…

Molecular Networks · Quantitative Biology 2009-08-05 Robert C. Hilborn , Jessie D. Erwin

The effect of intrinsic channel noise is investigated for the dynamic response of a neuronal cell with a delayed feedback loop. The loop is based on the so-called autapse phenomenon in which dendrites establish not only connections to…

Biological Physics · Physics 2014-12-22 Yunyun Li , Gerhard Schmid , Peter Hanggi , Lutz Schimansky-Geier

We study the interplay between structural and conductivity (composite) disorder and the collective electrical response in random networks models. Translating the problem of time-dependent electrical response (resonance and transient…

Disordered Systems and Neural Networks · Physics 2010-02-03 R. Huang , G. Korniss , S. K. Nayak

Building upon advancements in Large Language Models (LLMs), the field of audio processing has seen increased interest in training audio generation tasks with discrete audio token sequences. However, directly discretizing audio by neural…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-08 Wenrui Liu , Zhifang Guo , Jin Xu , Yuanjun Lv , Yunfei Chu , Zhou Zhao , Junyang Lin

Noise-induced population bursting has been widely identified to play important roles in the information process. We constructed a mathematical model for a random and sparse neural network where bursting can be induced from the resting state…

Neurons and Cognition · Quantitative Biology 2021-09-10 Na Yu , Gurpreet Jagdev , Michelle Morgovsky

The activity generated by an ensemble of neurons is affected by various noise sources. It is a well-recognised challenge to understand the effects of noise on the stability of such networks. We demonstrate that the patterns of activity…

Analysis of PDEs · Mathematics 2022-05-19 Jose A. Carrillo , Helge Holden , Susanne Solem

"Noise-induced volatility" refers to a phenomenon of increased level of fluctuations in the collective dynamics of bistable units in the presence of a rapidly varying external signal, and intermediate noise levels. The archetypical…

Statistical Mechanics · Physics 2012-02-01 Georges Harras , Claudio J. Tessone , Didier Sornette

High-harmonic generation in solids by intense laser pulses provides a fascinating platform for studying material properties and ultra-fast electron dynamics, where its coherent character is a central aspect. Using the semiconductor Bloch…

Mesoscale and Nanoscale Physics · Physics 2026-01-22 Wolfgang Hogger , Alexander Riedel , Debadrito Roy , Angelika Knothe , Cosimo Gorini , Juan-Diego Urbina , Klaus Richter

One of the simplest and least resource-intensive methods to suppress decoherence for qubit operations, namely, dynamical decoupling (DD), is investigated for a broad range of realistic noise sources with time-retarded feedback. By way of…

Quantum Physics · Physics 2025-02-06 Kiyoto Nakamura , Joachim Ankerhold

Recent experiments have highlighted how collective dynamics in networks of brain regions affect behavior and cognitive function. In this paper we show that a simple, homogeneous system of densely connected oscillators representing the…

Pattern Formation and Solitons · Physics 2013-05-31 Rajeev Singh , Shakti N. Menon , Sitabhra Sinha

By investigating the evolution of a moving spin-1/2 Dirac electron coupled with a background magnetic noise, we demonstrate that the effects of special relativity will significantly modify the decoherence properties of the spin state. The…

Quantum Physics · Physics 2007-10-03 Jian-Ming Cai , Zheng-Wei Zhou , Ye-Fei Yuan , Guang-Can Guo
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