Towards a classification of networks with asymmetric inputs

DOI10.1088/1361-6544/ac0b2ezbMath1472.34069arXiv2001.00389OpenAlexW2997102588MaRDI QIDQ5000666

Pedro Soares, Manuela A. D. Aguiar, Ana Paula S. Dias

Publication date: 15 July 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00389

zbMATH Keywords

coupled cell networkminimal networkasymmetric inputsnetwork ODE-class

Mathematics Subject Classification ID

Applications of graph theory (05C90) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Enumeration in graph theory (05C30)

Cites Work

• Unnamed Item
• Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation
• Graph fibrations and symmetries of network dynamics
• Feedforward networks: adaptation, feedback, and synchrony
• The steady-state lifting bifurcation problem associated with the valency on networks
• Amplified Hopf Bifurcations in Feed-Forward Networks
• Projection blocks in homogeneous coupled cell networks
• Linear equivalence and ODE-equivalence for coupled cell networks
• Networks with asymmetric inputs: lattice of synchrony subspaces
• Homogeneous three-cell networks
• Dynamical equivalence of networks of coupled dynamical systems: I. Asymmetric inputs
• Dynamical equivalence of networks of coupled dynamical systems: II. General case
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Center Manifolds of Coupled Cell Networks
• Patterns of synchrony for feed-forward and auto-regulation feed-forward neural networks
• The lifting bifurcation problem on feed-forward networks
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• Combinatorial dynamics
• Characterization of fundamental networks
• Coupled cell networks: Semigroups, Lie algebras and normal forms
• Minimal coupled cell networks
• ENUMERATION OF HOMOGENEOUS COUPLED CELL NETWORKS
• Coupled Cell Networks and Their Hidden Symmetries

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