Network architecture and spatio-temporally symmetric dynamics

DOI10.1016/j.physd.2006.09.024zbMath1118.34032OpenAlexW2120696880MaRDI QIDQ858506

Andrei Török, Krešimir Josić

Publication date: 9 January 2007

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2006.09.024

zbMATH Keywords

coupled cell networkstable spatio-temporal patterns

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural networks for/in biological studies, artificial life and related topics (92B20) Symmetries, invariants of ordinary differential equations (34C14) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (8)

Symmetry types and phase-shift synchrony in networks ⋮ AN OPTIMAL LIFTING THEOREM FOR COUPLED CELL NETWORKS ⋮ Periodic dynamics of coupled cell networks II: cyclic symmetry ⋮ Overdetermined ODEs and rigid periodic states in network dynamics ⋮ Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics ⋮ Explosive transitions in complex networks' structure and dynamics: percolation and synchronization ⋮ Overdetermined constraints and rigid synchrony patterns for network equilibria ⋮ Periodic dynamics of coupled cell networks I: rigid patterns of synchrony and phase relations

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