Nonlinear Consensus on Networks: Equilibria, Effective Resistance, and Trees of Motifs
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Publication:5164891
DOI10.1137/20M1376844zbMath1478.05142arXiv2008.12022OpenAlexW3198092209MaRDI QIDQ5164891
Renaud Lambiotte, Marc Homs-Dones, Karel Devriendt
Publication date: 15 November 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.12022
Social networks; opinion dynamics (91D30) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Nonlinear ordinary differential equations and systems (34A34) Boundary value problems on graphs and networks for ordinary differential equations (34B45)
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Cites Work
- SIS epidemic propagation on hypergraphs
- On bifurcations in nonlinear consensus networks
- Synchronization in complex networks of phase oscillators: a survey
- Chemical oscillations, waves, and turbulence
- Dynamics of decision making in animal group motion
- The Schur complement and its applications
- Nonlinear network dynamics with consensus-dissensus bifurcation
- Exact deterministic representation of Markovian SIR epidemics on networks with and without loops
- Multistability of phase-locking in equal-frequency Kuramoto models on planar graphs
- Full Rank Factorization of Matrices
- Note on deleting a vertex and weak interlacing of the Laplacian spectrum
- The principal minor test for semidefinite matrices
- Cauchy's Interlace Theorem for Eigenvalues of Hermitian Matrices
- Networks
- Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis
- Consensus and Cooperation in Networked Multi-Agent Systems
- Reaching a Consensus
- Bifurcations on Fully Inhomogeneous Networks
- Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory
- Robust Rendezvous for Mobile Autonomous Agents via Proximity Graphs in Arbitrary Dimensions
- Passivity as a Design Tool for Group Coordination
- On the adjacency matrix of a block graph
- Spectral Theory for Dynamics on Graphs Containing Attractive and Repulsive Interactions
- Nonlinear dynamics of networks: the groupoid formalism
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