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Simple nonlinear dynamical systems with multiple stable stationary states are often taken as models for switchlike biological systems. This paper considers the interaction of multiple such simple multistable systems when they are embedded…

Quantitative Methods · Quantitative Biology 2008-04-10 Dennis Cates Wylie

Real-world complex networks are usually being modeled as graphs. The concept of graphs assumes that the relations within the network are binary (for instance, between pairs of nodes); however, this is not always true for many real-life…

Social and Information Networks · Computer Science 2020-05-06 Alessia Antelmi , Gennaro Cordasco , Bogumił Kamiński , Paweł Prałat , Vittorio Scarano , Carmine Spagnuolo , Przemyslaw Szufel

Processing large complex networks recently attracted considerable interest. Complex graphs are useful in a wide range of applications from technological networks to biological systems like the human brain. Sometimes these networks are…

Data Structures and Algorithms · Computer Science 2019-12-03 Christian Schulz

Complex dynamical systems are often modeled as networks, with nodes representing dynamical units which interact through the network's links. Gene regulatory networks, responsible for the production of proteins inside a cell, are an example…

Statistical Mechanics · Physics 2009-09-30 Zoran Levnajić

Any network studied in the literature is inevitably just a sampled representative of its real-world analogue. Additionally, network sampling is lately often applied to large networks to allow for their faster and more efficient analysis.…

Social and Information Networks · Computer Science 2015-04-14 Neli Blagus , Lovro Šubelj , Gregor Weiss , Marko Bajec

Graphs are naturally used to describe the structures of various real-world systems in biology, society, computer science etc., where subgraphs or motifs as basic blocks play an important role in function expression and information…

Social and Information Networks · Computer Science 2021-02-11 Jinhuan Wang , Pengtao Chen , Bin Ma , Jiajun Zhou , Zhongyuan Ruan , Guanrong Chen , Qi Xuan

We consider recent reports on small-world topologies of interaction networks derived from the dynamics of spatially extended systems that are investigated in diverse scientific fields such as neurosciences, geophysics, or meteorology. With…

Data Analysis, Statistics and Probability · Physics 2011-05-12 Stephan Bialonski , Marie-Therese Horstmann , Klaus Lehnertz

A large variety of interacting complex systems are characterized by interactions occurring between more than two nodes. These systems are described by simplicial complexes. Simplicial complexes are formed by simplices (nodes, links,…

Physics and Society · Physics 2017-05-04 Ginestra Bianconi , Christoph Rahmede

In distributed systems, knowledge of the network structure of the connections among the unitary components is often a requirement for an accurate prediction of the emerging collective dynamics. However, in many real-world situations, one…

Physics and Society · Physics 2025-03-21 Yin-Jie Ma , Zhi-Qiang Jiang , Fanshu Fang , Charo I. del Genio , Stefano Boccaletti

One of the most important features observed in real networks is that, as a network's topology evolves so does the network's ability to perform various complex tasks. To explain this, it has also been observed that as a network grows certain…

Physics and Society · Physics 2017-12-06 L. A. Bunimovich , D. C. Smith , B. Z. Webb

The following paper is on the emergence of observable complexity in urban networks visualized as product of essentially non-observable social processes. The methodology unfolded here draws on recent insight of econophysics in the strict…

Other Condensed Matter · Physics 2007-05-23 Rainer E. Zimmermann , Anna Soci

Generative mechanisms which lead to empirically observed structure of networked systems from diverse fields like biology, technology and social sciences form a very important part of study of complex networks. The structure of many…

Physics and Society · Physics 2015-12-03 Snehal M. Shekatkar , G. Ambika

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

Populations and Evolution · Quantitative Biology 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

A complex network is a condensed representation of the relational topological framework of a complex system. A main reason for the existence of such networks is the transmission of items through the entities of these complex systems. Here,…

Physics and Society · Physics 2018-04-18 María Pereda , Ernesto Estrada

Complex systems are characterized by many interacting units that give rise to emergent behavior. A particularly advantageous way to study these systems is through the analysis of the networks that encode the interactions among the system's…

Physics and Society · Physics 2019-03-21 Alberto Aleta , Yamir Moreno

To analyze the evolutionary emergence of structural complexity in physical processes we introduce a general, but tractable, model of objects that interact to produce new objects. Since the objects--\emph{$epsilon$-machines}--have well…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 James P. Crutchfield , Olof Gornerup

The value of structured scholarly knowledge for research and society at large is well understood, but producing scholarly knowledge (i.e., knowledge traditionally published in articles) in structured form remains a challenge. We propose an…

Digital Libraries · Computer Science 2023-12-06 Muhammad Haris , Sören Auer , Markus Stocker

Network topology and nodal dynamics are two fundamental stones of adaptive networks. Detailed and accurate knowledge of these two ingredients is crucial for understanding the evolution and mechanism of adaptive networks. In this paper, by…

Physics and Society · Physics 2013-09-24 Jie Zhou , Gaoxi Xiao , Guanrong Chen

This paper explores the application of functional data analysis (FDA) as a means to study the dynamics of software evolution in the open source context. Several challenges in analyzing the data from software projects are discussed, an…

Statistics Theory · Mathematics 2007-06-13 Katherine J. Stewart , David P. Darcy , Sherae L. Daniel

With the advent of open source software, a veritable treasure trove of previously proprietary software development data was made available. This opened the field of empirical software engineering research to anyone in academia. Data that is…

Software Engineering · Computer Science 2022-04-19 Adam Tutko , Austin Z. Henley , Audris Mockus