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We propose a simple adaptive-network model describing recent swarming experiments. Exploiting an analogy with human decision making, we capture the dynamics of the model by a low-dimensional system of equations permitting analytical…

Disordered Systems and Neural Networks · Physics 2011-07-15 Cristián Huepe , Gerd Zschaler , Anne-Ly Do , Thilo Gross

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

Social and Information Networks · Computer Science 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

In social dilemmas, most interactions are transient and susceptible to restructuring, leading to continuous changes in social networks over time. Typically, agents assess the rewards of their current interactions and adjust their…

Physics and Society · Physics 2025-11-25 Xiaojin Xiong , Yichao Yao , Minyu Feng , Manuel Chica

Order can spontaneously emerge from seemingly noisy interactions between biological agents, like a flock of birds changing their direction of flight in unison, without a leader or an external cue. We are interested in the generic conditions…

Biological Physics · Physics 2021-03-09 Carsten T. van de Kamp , George Dadunashvili , Johan L. A. Dubbeldam , Timon Idema

The evolution of leadership in migratory populations depends not only on costs and benefits of leadership investments but also on the opportunities for individuals to rely on cues from others through social interactions. We derive an…

Adaptation and Self-Organizing Systems · Physics 2013-05-17 Darren Pais , Naomi Ehrich Leonard

Humans and other animals often follow the decisions made by others because these are indicative of the quality of possible choices, resulting in `social response rules': observed relationships between the probability that an agent will make…

Physics and Society · Physics 2025-10-28 Richard P. Mann

Models of the consensus of the individual state in social systems have been the subject of recent researches in the physics literature. We investigate how network structures coevolve with the individual state under the framework of social…

Social and Information Networks · Computer Science 2020-05-15 Kaiqi Zhang , Zinan Lv , Haifeng Du , Honghu Zou

Societies experience politically stable and unstable phases along history, whereas political power is usually passed to new elite groups by these changes. Structural dynamics of the elites in a society have been proposed to be one of the…

Physics and Society · Physics 2025-11-24 Alexander Jochim , Stefan Bornholdt

In many real-world complex systems, the time-evolution of the network's structure and the dynamic state of its nodes are closely entangled. Here, we study opinion formation and imitation on an adaptive complex network which is dependent on…

Physics and Society · Physics 2016-04-11 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Wolfgang Lucht , Jürgen Kurths

We analyze a model of interacting agents (e.g. prebiotic chemical species) which are represended by nodes of a network, whereas their interactions are mapped onto directed links between these nodes. On a fast time scale, each agent follows…

Populations and Evolution · Quantitative Biology 2009-11-13 Adrian M. Seufert , Frank Schweitzer

In many complex systems, states and interaction structure coevolve towards a dynamic equilibrium. For the adaptive contact process, we obtain approximate expressions for the degree distributions that characterize the interaction network in…

Adaptation and Self-Organizing Systems · Physics 2015-07-01 Stefan Wieland , Ana Nunes

We investigate structural transitions in adaptive networks where node states remain fixed and only the connections evolve via state-dependent rewiring. Using a general framework characterized by probabilistic rules for disconnection and…

Physics and Society · Physics 2026-01-23 R. Cárdenas-Sabando , M. G. Cosenza , J. C. González-Avella

It is a fundamental challenge to understand how the function of a network is related to its structural organization. Adaptive dynamical networks represent a broad class of systems that can change their connectivity over time depending on…

Adaptation and Self-Organizing Systems · Physics 2023-04-13 Rico Berner , Thilo Gross , Christian Kuehn , Jürgen Kurths , Serhiy Yanchuk

A generic property of biological, social and economical networks is their ability to evolve in time, creating and suppressing interactions. We approach this issue within the framework of an adaptive network of agents playing a Prisoner's…

Adaptation and Self-Organizing Systems · Physics 2014-10-20 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

This paper introduces a crowd modeling and motion control approach that employs diffusion adaptation within an adaptive network. In the network, nodes collaboratively address specific estimation problems while simultaneously moving as…

Multiagent Systems · Computer Science 2023-10-25 Zirui Wan , Saeid Sanei

We explore the coupled dynamics of the internal states of a set of interacting elements and the network of interactions among them. Interactions are modeled by a spatial game and the network of interaction links evolves adapting to the…

Other Condensed Matter · Physics 2007-09-23 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

We develop a sequence of models describing information transmission and decision dynamics for a network of individual agents subject to multiple sources of influence. Our general framework is set in the context of an impending natural…

Physics and Society · Physics 2015-06-05 Danielle S. Bassett , David L. Alderson , Jean M. Carlson

We consider a general model in which there is a coupled dynamics of node states and links states in a network. This coupled dynamics coevolves with dynamical changes of the topology of the network caused by a link rewiring mechanism. Such…

Physics and Society · Physics 2020-12-02 Meghdad Saeedian , Maxi San Miguel , Raul Toral

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

Systems and Control · Computer Science 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

Social movements, neurons in the brain or even industrial suppliers are best described by agents evolving on networks with basic interaction rules. In these real systems, the connectivity between agents corresponds to the a critical state…

Physics and Society · Physics 2007-05-23 Philippe Curty
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