Sustained oscillations in multi-topic belief dynamics over signed networks

Anastasia Bizyaeva; Alessio Franci; Naomi Ehrich Leonard

doi:10.23919/ACC55779.2023.10155909

Sustained oscillations in multi-topic belief dynamics over signed networks

Anastasia Bizyaeva, Alessio Franci, Naomi Ehrich Leonard

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

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.

Original language	English (US)
Title of host publication	2023 American Control Conference, ACC 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4296-4301
Number of pages	6
ISBN (Electronic)	9798350328066
DOIs	https://doi.org/10.23919/ACC55779.2023.10155909
State	Published - 2023
Externally published	Yes
Event	2023 American Control Conference, ACC 2023 - San Diego, United States Duration: May 31 2023 → Jun 2 2023

Publication series

Name	Proceedings of the American Control Conference
Volume	2023-May
ISSN (Print)	0743-1619

Conference

Conference	2023 American Control Conference, ACC 2023
Country/Territory	United States
City	San Diego
Period	5/31/23 → 6/2/23

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.23919/ACC55779.2023.10155909

Cite this

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title = "Sustained oscillations in multi-topic belief dynamics over signed networks",

abstract = "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.",

author = "Anastasia Bizyaeva and Alessio Franci and Leonard, {Naomi Ehrich}",

note = "Publisher Copyright: {\textcopyright} 2023 American Automatic Control Council.; 2023 American Control Conference, ACC 2023 ; Conference date: 31-05-2023 Through 02-06-2023",

year = "2023",

doi = "10.23919/ACC55779.2023.10155909",

language = "English (US)",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4296--4301",

booktitle = "2023 American Control Conference, ACC 2023",

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Bizyaeva, A, Franci, A & Leonard, NE 2023, Sustained oscillations in multi-topic belief dynamics over signed networks. in 2023 American Control Conference, ACC 2023. Proceedings of the American Control Conference, vol. 2023-May, Institute of Electrical and Electronics Engineers Inc., pp. 4296-4301, 2023 American Control Conference, ACC 2023, San Diego, United States, 5/31/23. https://doi.org/10.23919/ACC55779.2023.10155909

Sustained oscillations in multi-topic belief dynamics over signed networks. / Bizyaeva, Anastasia; Franci, Alessio; Leonard, Naomi Ehrich.
2023 American Control Conference, ACC 2023. Institute of Electrical and Electronics Engineers Inc., 2023. p. 4296-4301 (Proceedings of the American Control Conference; Vol. 2023-May).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Sustained oscillations in multi-topic belief dynamics over signed networks

AU - Bizyaeva, Anastasia

AU - Franci, Alessio

AU - Leonard, Naomi Ehrich

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

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DO - 10.23919/ACC55779.2023.10155909

M3 - Conference contribution

AN - SCOPUS:85167834433

T3 - Proceedings of the American Control Conference

SP - 4296

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BT - 2023 American Control Conference, ACC 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2023 American Control Conference, ACC 2023

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ER -

Sustained oscillations in multi-topic belief dynamics over signed networks

Abstract

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All Science Journal Classification (ASJC) codes

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