Commutative Monoid Formalism for Weighted Coupled Cell Networks and Invariant Synchrony Patterns

DOI10.1137/20M1387109zbMath1484.05197arXiv2108.11991OpenAlexW3193643618MaRDI QIDQ5158632

A. Pedro Aguiar, Pedro M. N. Sequeira, João P. Hespanha

Publication date: 25 October 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.11991

zbMATH Keywords

synchronybalanced partitionscoupled cell networks

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Random graphs (graph-theoretic aspects) (05C80) Network design and communication in computer systems (68M10) Symmetries, invariants of ordinary differential equations (34C14) Decentralized systems (93A14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (2)

Decomposition of Admissible Functions in Weighted Coupled Cell Networks ⋮ An in-reachability based classification of invariant synchrony patterns in weighted coupled cell networks

Uses Software

• OEIS

Cites Work

• Synchronization in complex networks of phase oscillators: a survey
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• A POLYNOMIAL TIME ALGORITHM TO DETERMINE MAXIMAL BALANCED EQUIVALENCE RELATIONS
• The lattice of balanced equivalence relations of a coupled cell network
• The Structure and Function of Complex Networks
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• Invariant Synchrony Subspaces of Sets of Matrices
• Collective dynamics of ‘small-world’ networks
• Nonlinear dynamics of networks: the groupoid formalism

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