Dynamic consensus of nonlinear oscillators under weak coupling

Anes Lazri (1) , Elena Panteley (1) , Antonio Loria (1)

1 L2S - Laboratoire des signaux et systèmes

Dynamic consensus is a property of networked systems that pertains to the case in which all the interconnected systems synchronise their motions and a collective behaviour arises. If the coupling strength is large such behaviour may be modelled by a single system, but if it is weak, the behaviour is best modelled by a reduced-order network. For networks of homogeneous Stuart-Landau oscillators under weak coupling, we characterise the dimension and dynamics of such reduced-order network in function of the coupling strength.

Domaines: Automatique / Robotique

Anes Lazri, Elena Panteley, Antonio Loria. Dynamic consensus of nonlinear oscillators under weak coupling. 25th Int. Symposium on Mathematical Theory of Networks and Systems (MTNS 2022), Sep 2022, Bayreuth, Germany. ⟨hal-03754339⟩