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Ensembles of phase-oscillators are known to exhibit a variety of collective regimes. Here, we show that a simple mean-field model involving two heterogenous populations of pulse-coupled oscillators, exhibits, in the strong-coupling limit, a…

Disordered Systems and Neural Networks · Physics 2024-07-12 German Mato , Antonio Politi , Alessandro Torcini

The asymptotic convergence of probability density function (pdf) and convergence of differential entropy are examined for the non-stationary processes that follow the maximum entropy principle (MaxEnt) and maximum entropy production…

Information Theory · Computer Science 2014-01-14 Alexander L. Fradkov , Dmitry S. Shalymov

Graph mining to extract interesting components has been studied in various guises, e.g., communities, dense subgraphs, cliques. However, most existing works are based on notions of frequency and connectivity and do not capture subjective…

Social and Information Networks · Computer Science 2016-08-15 Hao Wu , Maoyuan Sun , Jilles Vreeken , Nikolaj Tatti , Chris North , Naren Ramakrishnan

In this contribution, models of wireless channels are derived from the maximum entropy principle, for several cases where only limited information about the propagation environment is available. First, analytical models are derived for the…

Information Theory · Computer Science 2007-07-13 M. Guillaud , M. Debbah , A. L. Moustakas

Describing the collective activity of neural populations is a daunting task: the number of possible patterns grows exponentially with the number of cells, resulting in practically unlimited complexity. Recent empirical studies, however,…

Neurons and Cognition · Quantitative Biology 2012-02-02 Andrea K. Barreiro , Julijana Gjorgjieva , Fred Rieke , Eric Shea-Brown

The s=1/2 Ising chain with uniform nearest-neighbor and next-nearest-neighbor coupling is used to construct a system of floating particles characterized by motifs of up to six consecutive local spins. The spin couplings cause the assembly…

Statistical Mechanics · Physics 2012-04-27 Ping Lu , Dan Liu , Gerhard Müller , Michael Karbach

Recent advances in experimental techniques have allowed the simultaneous recording of populations of hundreds of neurons, allowing more comprehensive investigation into the nature of the collective structure of population neural activity.…

Neurons and Cognition · Quantitative Biology 2018-02-07 Mark L. Ioffe , Michael J. Berry

We analyze complexity in spatial network ensembles through the lens of graph entropy. Mathematically, we model a spatial network as a soft random geometric graph, i.e., a graph with two sources of randomness, namely nodes located randomly…

Physics and Society · Physics 2018-05-02 Justin P. Coon , Carl P. Dettmann , Orestis Georgiou

This work deals with accuracy analysis of dynamical systems interconnected in a cascade structure. For a cascade network there are a number of experimental settings for which the dynamic systems within the network can be identified. We…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Eduardo Mapurunga , Alexandre Sanfelice Bazanella

The minimum energy path (MEP) describes the mechanism of reaction, and the energy barrier along the path can be used to calculate the reaction rate in thermal systems. The nudged elastic band (NEB) method is one of the most commonly used…

Numerical Analysis · Mathematics 2025-03-24 Xuanyu Liu , Huajie Chen , Christoph Ortner

Complex network analysis has an increasing relevance in the study of neurological disorders, enhancing the knowledge of brain's structural and functional organization. Network structure and efficiency reveal different brain states along…

Neurons and Cognition · Quantitative Biology 2022-01-24 Nicolás J. Gallego-Molina , Andrés Ortiz , Francisco J. Martínez-Murcia , Marco Formoso , Almudena Giménez

We present atomistic molecular dynamics simulations of two Polyethylene systems where all entanglements are trapped: a perfect network, and a melt with grafted chain ends. We examine microscopically at what level topological constraints can…

Soft Condensed Matter · Physics 2015-03-13 Stefanos D. Anogiannakis , Christos Tzoumanekas , Doros N. Theodorou

Dynamical decoupling techniques constitute an integral part of many quantum sensing platforms, often leading to orders-of-magnitude improvements in coherence time and sensitivity. Most AC sensing sequences involve a periodic echo-like…

In this paper we propose a decentralized sensor network scheme capable to reach a globally optimum maximum likelihood (ML) estimate through self-synchronization of nonlinearly coupled dynamical systems. Each node of the network is composed…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-11 Sergio Barbarossa , Gesualdo Scutari

Self-organizing memristive networks are physical circuits that dynamically reconfigure their circuitry in response to external input signals. Their adaptive behavior arises from intrinsic neuro-synaptic dynamics combined with a…

Disordered Systems and Neural Networks · Physics 2026-04-28 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

Gap-junctional coupling is an important way of communication between neurons and other excitable cells. Strong electrical coupling synchronizes activity across cell ensembles. Surprisingly, in the presence of noise synchronous oscillations…

Adaptation and Self-Organizing Systems · Physics 2012-06-05 Georgi S. Medvedev , Svitlana Zhuravytska

The central philosophy of statistical mechanics (stat-mech) and random-matrix theory of complex systems is that while individual instances are essentially intractable to simulate, the statistical properties of random ensembles obey simple…

Quantum Physics · Physics 2022-10-04 Andrew C. Potter , Romain Vasseur

We study the synchronization of coupled dynamical systems on a variety of networks. The dynamics is governed by a local nonlinear map or flow for each node of the network and couplings connecting different nodes via the links of the…

Chaotic Dynamics · Physics 2009-11-13 R. E. Amritkar , Sarika Jalan

The efficiency at maximum power (EMP) for tight-coupling molecular motors is investigated within the framework of irreversible thermodynamics. It is found that the EMP depends merely on the constitutive relation between the thermodynamic…

Statistical Mechanics · Physics 2013-12-13 Z. C. Tu

We consider synchronization of coupled dynamical systems when different types of interactions are simultaneously present. We assume that a set of dynamical systems are coupled through the connections of two or more distinct networks (each…

Chaotic Dynamics · Physics 2015-05-28 Francesco Sorrentino
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