Dynamical systems defined on simplicial complexes: symmetries, conjugacies, and invariant subspaces

DOI10.1063/5.0093842MaRDI QIDQ6569986

Eddie Nijholt, Lee DeVille

Publication date: 9 July 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Graph fibrations and symmetries of network dynamics
• Chemical oscillations, waves, and turbulence
• Networks beyond pairwise interactions: structure and dynamics
• Local bifurcation in symmetric coupled cell networks: linear theory
• Modular dynamical systems on networks
• Cliques and cavities in the human connectome
• Network geometry and complexity
• Simplicial degree in complex networks. Applications of topological data analysis to network science
• Complex networks: structure and dynamics
• What can topology tell us about the neural code?
• Hopf Bifurcation in Coupled Cell Networks with Interior Symmetries
• Structurally stable heteroclinic cycles
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Networks
• Deterministic Nonperiodic Flow
• Center Manifolds of Coupled Cell Networks
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• Quiver Representations and Dimension Reduction in Dynamical Systems
• Higher-Order Networks
• Topological Signal Processing Over Simplicial Complexes
• Hodge Laplacians on Graphs
• Synchrony and Antisynchrony in Weighted Networks
• Simplicial complexes and complex systems
• Synchrony and Antisynchrony for Difference-Coupled Vector Fields on Graph Network Systems
• Nonlinear dynamics of networks: the groupoid formalism

Related Items (1)

Dynamics on networks with higher-order interactions

This page was built for publication: Dynamical systems defined on simplicial complexes: symmetries, conjugacies, and invariant subspaces