Dynamics on networks of manifolds

Research output: Contribution to journalArticlepeer-review


We propose a precise definition of a continuous time dynamical system made up of interacting open subsystems. The interconnections of subsystems are coded by directed graphs. We prove that the appropriate maps of graphs called graph _brations give rise to maps of dynamical systems. Consequently surjective graph fibrations give rise to invariant subsystems and injective graph fibrations give rise to projections of dynamical systems.

Original languageEnglish (US)
Article number022
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
StatePublished - Mar 12 2015


  • Control systems
  • Coupled cell networks
  • Morphisms of dynamical systems
  • Open dynamical systems

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Geometry and Topology


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