Patterns of synchrony for feed-forward and auto-regulation feed-forward neural networks

DOI10.1063/1.4973234zbMath1390.92009OpenAlexW2562769762WikidataQ47989391 ScholiaQ47989391MaRDI QIDQ4642538

Flora Ferreira, Manuela A. D. Aguiar, Ana Paula S. Dias

Publication date: 23 May 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://repositorio-aberto.up.pt/handle/10216/96384

zbMATH Keywords

auto-regulationfeed-forward neural coupled cell networks

Mathematics Subject Classification ID

Applications of graph theory (05C90) Neural networks for/in biological studies, artificial life and related topics (92B20) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (13)

Networks with asymmetric inputs: lattice of synchrony subspaces ⋮ Network dynamics with higher-order interactions: coupled cell hypernetworks for identical cells and synchrony ⋮ Invariant Synchrony Subspaces of Sets of Matrices ⋮ Decomposition of Admissible Functions in Weighted Coupled Cell Networks ⋮ An in-reachability based classification of invariant synchrony patterns in weighted coupled cell networks ⋮ On distributed coordination in networks of cyber-physical systems ⋮ Finite Characterization of the Coarsest Balanced Coloring of a Network ⋮ The lifting bifurcation problem on feed-forward networks ⋮ Synchrony and Antisynchrony in Weighted Networks ⋮ Feedforward networks: adaptation, feedback, and synchrony ⋮ Synchronization and equitable partitions in weighted networks ⋮ Synchrony patterns in gene regulatory networks ⋮ Towards a classification of networks with asymmetric inputs

Cites Work

• Feed-forward networks, center manifolds, and forcing
• The lattice of synchrony subspaces of a coupled cell network: characterization and computation algorithm
• Graph fibrations and symmetries of network dynamics
• Bifurcations from regular quotient networks: A first insight
• Some curious phenomena in coupled cell networks
• Explaining synchrony in feed-forward networks: Are McCulloch-Pitts neurons good enough?
• Heteroclinic networks in homogeneous and heterogeneous identical cell systems
• Amplified Hopf Bifurcations in Feed-Forward Networks
• Dynamics on Networks of Cluster States for Globally Coupled Phase Oscillators
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• Combinatorial dynamics
• Nilpotent Hopf Bifurcations in Coupled Cell Systems

This page was built for publication: Patterns of synchrony for feed-forward and auto-regulation feed-forward neural networks