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math.DS2023
Jointly Equivariant Dynamics for Interacting Particles
Alain Ajami, Jean-Paul Gauthier, Francesco Rossi
Let a finite set of interacting particles be given, together with a symmetry Lie group . Here we describe all possible dynamics that are jointly equivariant with respect to the…
math.DS2016
Interaction Network, State Space and Control in Social Dynamics
Aylin Aydogdu, Marco Caponigro, Sean McQuade +4
In the present chapter we study the emergence of global patterns in large groups in first and second-order multi-agent systems, focusing on two ingredients that influence the dynam…