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This paper proposes networked dynamics to solve resource allocation problems over time-varying multi-agent networks. The state of each agent represents the amount of used resources (or produced utilities) while the total amount of resources…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Mohammadreza Doostmohammadian , Alireza Aghasi , Mohammad Pirani , Ehsan Nekouei , Usman A. Khan , Themistoklis Charalambous

Networked dynamical systems are common throughout science in engineering; e.g., biological networks, reaction networks, power systems, and the like. For many such systems, nonlinearity drives populations of identical (or near-identical)…

Dynamical Systems · Mathematics 2023-02-10 James Koch , Zhao Chen , Aaron Tuor , Jan Drgona , Draguna Vrabie

The changing topology of a network is driven by the need to maintain or optimize network function. As this function is often related to moving quantities such as traffic, information, etc. efficiently through the network the structure of…

Physics and Society · Physics 2023-11-28 Annika King , Dallas Smith , Benjamin Webb

The emergence of collective behaviors in networks of dynamical units in pairwise interaction has been explained as the effect of diffusive coupling. How does the presence of higher-order interaction impact the onset of spontaneous or…

Adaptation and Self-Organizing Systems · Physics 2023-10-05 Fabio Della Rossa , Davide Liuzza , Francesco Lo Iudice , Pietro De Lellis

Several approaches to cognition and intelligence research rely on statistics-based models testing, namely factor analysis. In the present work we exploit the emerging dynamical systems perspective putting the focus on the role of the…

Physics and Society · Physics 2018-03-15 Gemma Rosell-Tarragó , Emanuele Cozzo , Albert Díaz-Guilera

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

Systems and Control · Computer Science 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

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

We consider the influence of local noise on a generalized network of populations having positive and negative feedbacks. The population dynamics at the nodes is nonlinear, typically chaotic, and allows cessation of activity if the…

Chaotic Dynamics · Physics 2014-12-03 Anshul Choudhary , Vivek Kohar , Sudeshna sinha

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

Disordered Systems and Neural Networks · Physics 2024-05-08 Kenichi Nakazato

We study binary state dynamics on a network where each node acts in response to the average state of its neighborhood. Allowing varying amounts of stochasticity in both the network and node responses, we find different outcomes in random…

Physics and Society · Physics 2014-07-09 Kameron Decker Harris , Christopher M. Danforth , Peter Sheridan Dodds

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

Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities alone has been shown to suppress…

Disordered Systems and Neural Networks · Physics 2009-11-11 Adilson E. Motter , Changsong Zhou , Juergen Kurths

In a recent article [1] we surveyed advances related to adaptation, learning, and optimization over synchronous networks. Various distributed strategies were discussed that enable a collection of networked agents to interact locally in…

Optimization and Control · Mathematics 2017-12-13 Ali H. Sayed , Xiaochuan Zhao

Controlling complex networked systems to a desired state is a key research goal in contemporary science. Despite recent advances in studying the impact of network topology on controllability, a comprehensive understanding of the synergistic…

Optimization and Control · Mathematics 2014-08-04 Chen Zhao , Wen-Xu Wang , Yang-Yu Liu , Jean-Jacques Slotine

The network density matrix formalism allows for describing the dynamics of information on top of complex structures and it has been successfully used to analyze from system's robustness to perturbations to coarse graining multilayer…

Physics and Society · Physics 2023-05-03 Arsham Ghavasieh , Manlio De Domenico

Heterogeneous network data with rich nodal information become increasingly prevalent across multidisciplinary research, yet accurately modeling complex nodal heterogeneity and simultaneously selecting influential nodal attributes remains an…

Methodology · Statistics 2026-04-14 Zhaoyu Xing , Xiufan Yu

We study synchronization of non-diffusively coupled map networks with arbitrary network topologies, where the connections between different units are, in general, not symmetric and can carry both positive and negative weights. We show that,…

Chaotic Dynamics · Physics 2010-02-09 Frank Bauer , Fatihcan M. Atay , Juergen Jost

Dynamics of arbitrary communication system is analysed as unreduced interaction process. The applied generalised, universally nonperturbative method of effective potential reveals the phenomenon of dynamic multivaluedness of competing…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk
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