Abstract
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 language | English (US) |
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Article number | 022 |
Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Volume | 11 |
DOIs | |
State | Published - Mar 12 2015 |
Keywords
- Control systems
- Coupled cell networks
- Morphisms of dynamical systems
- Open dynamical systems
ASJC Scopus subject areas
- Analysis
- Mathematical Physics
- Geometry and Topology