3 papers
math.DS2026
Input-to-Output Stability and Consensus Control of Opinion Dynamics on Graph State-Space
Arthur Doliveira, Christophe Roman, Guillaume Graton +1
This paper proposes a modeling of opinion dynamics in social systems with evolving structures on the Graph State-Space. It builds upon the Hegselmann-Krause (HK) model with variabl…
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.…