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An important feature of many complex systems, both natural and artificial, is the structure and organization of their interaction networks with interesting properties. Here we present a theory of self-organization by evolutionary adaptation…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Venkat Venkatasubramanian , Santhoji Katare , Priyan R. Patkar , Fangping Mu

Empirical complex systems can be characterized not only by pairwise interactions, but also by higher-order (group) interactions influencing collective phenomena, from metabolic reactions to epidemics. Nevertheless, higher-order networks'…

Physics and Society · Physics 2026-01-01 Maxime Lucas , Luca Gallo , Arsham Ghavasieh , Federico Battiston , Manlio De Domenico

Higher-order information theory has become a rapidly growing toolkit in computational neuroscience, motivated by the idea that multivariate dependencies can reveal aspects of neural computation and communication that are invisible to…

Neurons and Cognition · Quantitative Biology 2025-12-03 D. Rebbin , K. J. A. Down , T. F. Varley , R. Ince , A. Canales-Johnson

The persistence of biodiversity of species is a challenging proposition in ecological communities in the face of Darwinian selection. The present article investigates beyond the pairwise competitive interactions and provides a novel…

Populations and Evolution · Quantitative Biology 2022-11-09 Sourin Chatterjee , Sayantan Nag Chowdhury , Dibakar Ghosh , Chittaranjan Hens

The co-evolution of structure and dynamics, known as adaptivity, is a fundamental property in various systems and drives diverse emergent behaviors. However, the adaptivity in previous works is primarily stemmed from pairwise situations,…

Physics and Society · Physics 2025-08-22 Longzhao Liu , Hongwei Zheng , Zhihao Han , Xin Wang , Shaoting Tang

Ecological models traditionally explain stability and coexistence through pairwise interactions among species. These interactions can also involve groups of three or more species, higher-order interactions, which recent theory suggests can…

Populations and Evolution · Quantitative Biology 2025-10-07 Marc Duran-Sala , Sandro Meloni , Violeta Calleja-Solanas

The stable functionality of networked systems is a hallmark of their natural ability to coordinate between their multiple interacting components. Yet, strikingly, real-world networks seem random and highly irregular, apparently lacking any…

Adaptation and Self-Organizing Systems · Physics 2023-04-25 Chandrakala Meena , Chittaranjan Hens , Suman Acharyya , Simcha Haber , Stefano Boccaletti , Baruch Barzel

Modern urban resilience is threatened by cascading failures in multimodal transport networks, where localized shocks trigger widespread paralysis. Existing models, limited by their focus on pairwise interactions, often underestimate this…

Social and Information Networks · Computer Science 2025-09-18 Jinghua Song , Yuan Wang , Zimo Yan

The interactions between individuals play a pivotal role in shaping the structure and dynamics of social systems. Complex network models have proven invaluable in uncovering the underlying mechanisms that govern the formation and evolution…

Recent research has provided a wealth of evidence highlighting the pivotal role of high-order interdependencies in supporting the information-processing capabilities of distributed complex systems. These findings may suggest that high-order…

Adaptation and Self-Organizing Systems · Physics 2023-05-24 Patricio Orio , Pedro A. M. Mediano , Fernando E. Rosas

Recent studies have investigated various dynamic processes characterizing collective behaviors in real-world systems. However, these dynamics have been studied individually in specific contexts. In this article, we present a holistic…

Applied Physics · Physics 2025-01-28 Ming Xie , Shibo He , Aming Li , Zike Zhang , Youxian Sun , Jiming Chen

At what level does selective pressure effectively act? When considering the reproductive dynamics of interacting and mutating agents, it has long been debated whether selection is better understood by focusing on the individual or if…

Populations and Evolution · Quantitative Biology 2023-11-02 Hardik Rajpal , Clem von Stengel , Pedro A. M. Mediano , Fernando E. Rosas , Eduardo Viegas , Pablo A. Marquet , Henrik J. Jensen

In this work we present a strategic network formation model predicting the emergence of multigroup structures. Individuals decide to form or remove links based on the benefits and costs those connections carry; we focus on bilateral consent…

Social and Information Networks · Computer Science 2020-01-30 Shadi Mohagheghi , Jingying Ma , Francesco Bullo

The interplay between causal mechanisms and emerging collective behaviors is a central aspect of understanding, controlling, and predicting complex networked systems. In our work, we investigate the relationship between higher-order…

Cooperative behaviors are deeply embedded in structured biological and social systems. Networks are often employed to portray pairwise interactions among individuals, where network nodes represent individuals and links indicate who…

Physics and Society · Physics 2025-01-14 Jiachao Guo , Yao Meng , Aming Li

Networks provide a powerful formalism for modeling complex systems by using a model of pairwise interactions. But much of the structure within these systems involves interactions that take place among more than two nodes at once; for…

Social and Information Networks · Computer Science 2018-12-13 Austin R. Benson , Rediet Abebe , Michael T. Schaub , Ali Jadbabaie , Jon Kleinberg

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete synchronization is impossible, in general, but an emergent…

Optimization and Control · Mathematics 2022-06-01 Mohamed Maghenem , Elena Panteley , Antonio Loria

Network science has evolved into an indispensable platform for studying complex systems. But recent research has identified limits of classical networks, where links connect pairs of nodes, to comprehensively describe group interactions.…

Physics and Society · Physics 2022-03-24 Soumen Majhi , Matjaz Perc , Dibakar Ghosh

The relationship between the dynamics of a community and its constituent pairwise interactions is a fundamental problem in ecology. Higher-order ecological effects beyond pairwise interactions may be key to complex ecosystems, but…

Populations and Evolution · Quantitative Biology 2018-09-05 Michael Manhart , Eugene I. Shakhnovich

Ecological systems are emergent features of ecological and adaptive dynamics of a community of interacting species. By natural selection through the abiotic environment and by co-adaptation within the community, species evolve, thereby…

Populations and Evolution · Quantitative Biology 2018-07-03 Katharina Brinck , Henrik Jeldtoft Jensen
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