Symmetries of Quotient Networks for Doubly Periodic Patterns on the Hexagonal Lattice

DOI10.1142/S0218127420300049zbMath1442.37056OpenAlexW4253070171MaRDI QIDQ5222616

Dinis Gökaydin, I. N. Stewart

Publication date: 6 April 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420300049

zbMATH Keywords

networksymmetrysynchronybifurcationhexagonal latticebalanced coloringquotient network

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems involving maps of trees and graphs (37E25) Lattice dynamics; integrable lattice equations (37K60) Bifurcation theory for difference equations (39A28)

Related Items (3)

Finite Characterization of the Coarsest Balanced Coloring of a Network ⋮ Overdetermined constraints and rigid synchrony patterns for network equilibria ⋮ Balanced Colorings and Bifurcations in Rivalry and Opinion Networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cellular automaton modeling of biological pattern formation. Characterization, applications, and analysis. With a foreword by Philip K. Maini
• Singularities and groups in bifurcation theory. Volume II
• Some curious phenomena in coupled cell networks
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Bifurcation theory and spatio-temporal pattern formation. Proceedings ot the workshop on bifurcation theory and spatio-temporal pattern formation in partial differential equations, Toronto, Canada, December 11--13, 2003
• Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
• Numerical Solution of Stochastic Differential Equations in Finance
• SYMMETRY AND SYNCHRONY IN COUPLED CELL NETWORKS 2: GROUP NETWORKS
• SYMMETRY AND SYNCHRONY IN COUPLED CELL NETWORKS 1: FIXED-POINT SPACES
• SYMMETRY AND SYNCHRONY IN COUPLED CELL NETWORKS 3
• Spatially Periodic Patterns of Synchrony in Lattice Networks
• Cellular neural networks: theory
• The CNN paradigm
• Coupled cells with internal symmetry: I. Wreath products
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• The chemical basis of morphogenesis
• Exotic Patterns of Synchrony in Planar Lattice Networks
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• Two-colour patterns of synchrony in lattice dynamical systems
• Cellular Automata Modeling of Physical Systems
• Symmetries of Quotient Networks for Doubly Periodic Patterns on the Square Lattice
• Nonlinear dynamics of networks: the groupoid formalism
• Patterns of synchrony in lattice dynamical systems

This page was built for publication: Symmetries of Quotient Networks for Doubly Periodic Patterns on the Hexagonal Lattice