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Sustained oscillations in multi-topic belief dynamics over signed networks
Bizyaeva, Anastasia; Franci, Alessio; Leonard, Naomi Ehrich
2023In Proceedings of the American Control Conference
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Abstract :
[en] We study the dynamics of belief formation on multiple interconnected topics in networks of agents with a shared belief system. We establish sufficient conditions and necessary conditions under which sustained oscillations of beliefs arise on the network in a Hopf bifurcation and characterize the role of the communication graph and the belief system graph in shaping the relative phase and amplitude patterns of the oscillations. Additionally, we distinguish broad classes of graphs that exhibit such oscillations from those that do not. © 2023 American Automatic Control Council.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Bizyaeva, Anastasia;  Princeton University, The Dept. of Mechanical and Aerospace Engineering, Princeton, 08544, NJ, United States
Franci, Alessio  ;  Université de Liège - ULiège > Département d'électricité, électronique et informatique (Institut Montefiore) > Brain-Inspired Computing ; National Autonomous University of Mexico, The Dept. of Mathematics, Mexico City, 04510, Mexico
Leonard, Naomi Ehrich;  Princeton University, The Dept. of Mechanical and Aerospace Engineering, Princeton, 08544, NJ, United States
Language :
English
Title :
Sustained oscillations in multi-topic belief dynamics over signed networks
Publication date :
2023
Event name :
2023 American Control Conference, ACC 2023
Event place :
San diego
Event date :
31 May 2023 through 2 June 2023
Main work title :
Proceedings of the American Control Conference
Publisher :
Institute of Electrical and Electronics Engineers Inc.
Peer reviewed :
Peer reviewed
Available on ORBi :
since 02 July 2024

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