Opinion Dynamics with Heterogeneous Belief Systems and State-Dependent Susceptibility on Signed Social Networks.
Saved in:
| Title: | Opinion Dynamics with Heterogeneous Belief Systems and State-Dependent Susceptibility on Signed Social Networks. |
|---|---|
| Authors: | Yu, Shun1 yushun0303@163.com, Song, Haoran2 shr15005544022@163.com, Mei, Chunhui3 mch413@163.com, He, Guang4 hg-1211ok@163.com |
| Source: | IAENG International Journal of Applied Mathematics. Jun2026, Vol. 56 Issue 6, p2035-2043. 9p. |
| Subjects: | Consensus (Social sciences), Nonlinear systems, Stability theory, Polarization (Social sciences), Collective behavior |
| Abstract: | This paper introduces a generalized nonlinear model for opinion dynamics on signed social networks, which incorporates state-dependent susceptibility functions and multi-dimensional opinion spaces. Going beyond conventional scalar-state frameworks, the proposed model integrates agent-specific internal coupling matrices to capture the complex interdependencies among different opinion dimensions within individuals. By synthesizing tools from graph theory, nonlinear systems analysis, and LaSalle's invariance principle, we establish a comprehensive framework for convergence analysis, applicable to both structurally balanced and unbalanced networks. For structurally balanced networks, we demonstrate that bipartite consensus emerges. In contrast, structurally unbalanced configurations lead to distinct convergence behaviors, characterized by the nullspace properties of the system matrix. Our results provide rigorous sufficient conditions for exponential convergence across diverse behavioral archetypes including stubborn positives, neutrals, and extremists and reveal how network topology, susceptibility profiles, and interaction types collectively govern the system dynamics. This work establishes a unified theoretical foundation for studying multi-consensus dynamics in complex networked systems, with implications for understanding polarization and the emergence of collective behavior in systems with cooperative-antagonistic interactions. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 194195893 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Opinion Dynamics with Heterogeneous Belief Systems and State-Dependent Susceptibility on Signed Social Networks. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yu%2C+Shun%22">Yu, Shun</searchLink><relatesTo>1</relatesTo><i> yushun0303@163.com</i><br /><searchLink fieldCode="AR" term="%22Song%2C+Haoran%22">Song, Haoran</searchLink><relatesTo>2</relatesTo><i> shr15005544022@163.com</i><br /><searchLink fieldCode="AR" term="%22Mei%2C+Chunhui%22">Mei, Chunhui</searchLink><relatesTo>3</relatesTo><i> mch413@163.com</i><br /><searchLink fieldCode="AR" term="%22He%2C+Guang%22">He, Guang</searchLink><relatesTo>4</relatesTo><i> hg-1211ok@163.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jun2026, Vol. 56 Issue 6, p2035-2043. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Consensus+%28Social+sciences%29%22">Consensus (Social sciences)</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+systems%22">Nonlinear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Polarization+%28Social+sciences%29%22">Polarization (Social sciences)</searchLink><br /><searchLink fieldCode="DE" term="%22Collective+behavior%22">Collective behavior</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper introduces a generalized nonlinear model for opinion dynamics on signed social networks, which incorporates state-dependent susceptibility functions and multi-dimensional opinion spaces. Going beyond conventional scalar-state frameworks, the proposed model integrates agent-specific internal coupling matrices to capture the complex interdependencies among different opinion dimensions within individuals. By synthesizing tools from graph theory, nonlinear systems analysis, and LaSalle's invariance principle, we establish a comprehensive framework for convergence analysis, applicable to both structurally balanced and unbalanced networks. For structurally balanced networks, we demonstrate that bipartite consensus emerges. In contrast, structurally unbalanced configurations lead to distinct convergence behaviors, characterized by the nullspace properties of the system matrix. Our results provide rigorous sufficient conditions for exponential convergence across diverse behavioral archetypes including stubborn positives, neutrals, and extremists and reveal how network topology, susceptibility profiles, and interaction types collectively govern the system dynamics. This work establishes a unified theoretical foundation for studying multi-consensus dynamics in complex networked systems, with implications for understanding polarization and the emergence of collective behavior in systems with cooperative-antagonistic interactions. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=194195893 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 2035 Subjects: – SubjectFull: Consensus (Social sciences) Type: general – SubjectFull: Nonlinear systems Type: general – SubjectFull: Stability theory Type: general – SubjectFull: Polarization (Social sciences) Type: general – SubjectFull: Collective behavior Type: general Titles: – TitleFull: Opinion Dynamics with Heterogeneous Belief Systems and State-Dependent Susceptibility on Signed Social Networks. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yu, Shun – PersonEntity: Name: NameFull: Song, Haoran – PersonEntity: Name: NameFull: Mei, Chunhui – PersonEntity: Name: NameFull: He, Guang IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 6 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
| ResultId | 1 |
