Dynamics on Networks of Manifolds
Copyright policy )Dynamics on Networks of Manifolds
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 fibrations 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.
- University of Illinois at Urbana–Champaign United States
- University of Illinois at Urbana Champaign United States
Quantitative Biology - Neurons and Cognition, Molecular Networks (q-bio.MN), FOS: Biological sciences, FOS: Mathematics, Quantitative Biology - Molecular Networks, Neurons and Cognition (q-bio.NC), Dynamical Systems (math.DS), Mathematics - Dynamical Systems
Quantitative Biology - Neurons and Cognition, Molecular Networks (q-bio.MN), FOS: Biological sciences, FOS: Mathematics, Quantitative Biology - Molecular Networks, Neurons and Cognition (q-bio.NC), Dynamical Systems (math.DS), Mathematics - Dynamical Systems
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