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We analyse diffusion dynamics on weakly-coupled networks (interconnected networks) by means of separation of time scales. Using an adiabatic approximation we reduced the system dynamics to a Markov chain with aggregated variables and…

混沌动力学 · 物理学 2018-12-14 Grzegorz Siudem , Janusz A. Hołyst

The information implicitly represented in the state of physical systems allows one to analyze them with analytical techniques from statistical mechanics and information theory. In the case of complex networks such techniques are inspired by…

物理与社会 · 物理学 2023-08-09 Wout Merbis , Manlio de Domenico

We introduce a segmentation algorithm to probe temporal organization of heterogeneities in human heartbeat interval time series. We find that the lengths of segments with different local values of heart rates follow a power-law…

Network remodeling, or adaptation, in the presence of periodically driven forcings has hereto remained largely unexplored, despite the fact that a broad class of biological transport networks, e.g. animal vasculature, depends on periodic…

适应与自组织系统 · 物理学 2026-01-01 Purba Chatterjee , Eleni Katifori

This paper introduces a framework for modeling cyclical and feedback-driven information flow through a generalized family of entropy-modulated transformations called derangetropy functionals. Unlike scalar and static entropy measures such…

信息论 · 计算机科学 2025-06-17 Masoud Ataei , Xiaogang Wang

Cells use biochemical networks to translate environmental information into intracellular responses. These responses can be highly dynamic, but how the information is encoded in these dynamics remains poorly understood. Here we investigate…

细胞行为 · 定量生物学 2017-04-05 Garrett D. Potter , Tommy A. Byrd , Andrew Mugler , Bo Sun

Although there are many methods for functional data analysis (FDA), little emphasis is put on characterizing variability among volatilities of individual functions. In particular, certain individuals exhibit erratic swings in their…

应用统计 · 统计学 2012-12-04 Bin Zhu , David B. Dunson

In the face of the upcoming 30th anniversary of econophysics, we review our contributions and other related works on the modeling of the long-range memory phenomenon in physical, economic, and other social complex systems. Our group has…

物理与社会 · 物理学 2021-08-31 Rytis Kazakevicius , Aleksejus Kononovicius , Bronislovas Kaulakys , Vygintas Gontis

Information transfer is an essential factor in determining the robustness of collective behaviour in biological systems with distributed control. The most direct way to study the information transfer mechanisms is to experimentally detect…

Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present work proposes the use of Auto Mutual Information (Mutual…

数据分析、统计与概率 · 物理学 2019-07-24 C Granero-Belinchón , S. Roux , P. Abry , N. Garnier

We theoretically investigate how information flows when two particles interact with each other. Understanding the physical mechanisms of directional information flow is crucial for advancing information thermodynamics and stochastic…

统计力学 · 物理学 2026-03-12 Tenta Tani

We develop a technique for the multivariate data analysis of perturbed self-sustained oscillators. The approach is based on the reconstruction of the phase dynamics model from observations and on a subsequent exploration of this model. For…

医学物理 · 物理学 2019-06-03 M. Rosenblum , M. Frühwirth , M. Moser , A. Pikovsky

Multivariate time series analysis is extensively used in neurophysiology with the aim of studying the relationship between simultaneously recorded signals. Recently, advances on information theory and nonlinear dynamical systems theory have…

混沌动力学 · 物理学 2007-05-23 Ernesto Pereda , Rodrigo Quian Quiroga , Joydeep Bhattacharya

Cardiac fluid dynamics fundamentally involves interactions between complex blood flows and the structural deformations of the muscular heart walls and the thin, flexible valve leaflets. There has been longstanding scientific, engineering,…

Understanding the interaction patterns among simultaneous recordings of spike trains from multiple neuronal units is a key topic in neuroscience. However, an optimal approach of assessing these interactions has not been established, as…

神经元与认知 · 定量生物学 2020-12-17 Gorana Mijatovic , Yuri Antonacci , Tatjana Loncar-Turukalo , Ludovico Minati , Luca Faes

In this paper we present the concept of description of random processes in complex systems with the discrete time. It involves the description of kinetics of discrete processes by means of the chain of finite-difference non-Markov equations…

统计力学 · 物理学 2009-10-31 Renat Yulmetyev , Reter Hanggi , Fail Gafarov

Complex systems are characterized by multiple spatial and temporal scales. A natural framework to capture their multiscale nature is that of multilayer networks, where different layers represent distinct physical processes that often…

统计力学 · 物理学 2024-04-29 Giorgio Nicoletti , Daniel Maria Busiello

Pairwise interactions between individuals are taken as fundamental drivers of collective behavior responsible for group cohesion and decision-making. While an individual directly influences only a few neighbors, over time indirect…

适应与自组织系统 · 物理学 2022-04-12 Sulimon Sattari , Udoy S. Basak , Ryan G. James , James P. Crutchfield , Tamiki Komatsuzaki

Complex networks usually exhibit a rich architecture organized over multiple intertwined scales. Information pathways are expected to pervade these scales reflecting structural insights that are not manifest from analyses of the network…

物理与社会 · 物理学 2022-09-16 Pablo Villegas , Andrea Gabrielli , Francesca Santucci , Guido Caldarelli , Tommaso Gili

Identifying the origin of nonequilibrium characteristics in a generic interacting system having multiple degrees of freedom is a challenging task. In this context, information theoretic measures such as mutual information and related…

统计力学 · 物理学 2025-07-24 Biswajit Das , Sreekanth K Manikandan , Ayan Banerjee