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math.DS2026
Existence of Solutions for Hybrid Dynamical Systems on Graph State-Space
Arthur Doliveira, Christophe Roman, Guillaume Graton +1
This paper proposes a framework to ensure the existence of dynamical system trajectories in the state space of labeled, weighted, and attributed graphs. The evolution of such a sys…
math.DS2026
Generalized Lotka-Volterra Model with Species Turnover in a Variable-Basis State Space
Arthur Doliveira, Christophe Roman, Guillaume Graton +1
The state space is a fundamental concept for describing the trajectory of a dynamic system. Depending on its form, it can highlight certain changes over time while ignoring others.…