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This paper studies a clustering phenomena that emerges from a dynamic network with bounded and non-linear interactions. Necessary and sufficient conditions are given describing when the network exhibits clustering. We introduce a synchronization coefficient to quantify whether a network is synchronizing or clustering and provide a robustness margin for clustering. A combinatorial description of the...
This paper studies a class of cooperative networks that exhibit clustering in their steady-state behavior. We consider a collection of agents with heterogeneous dynamics and a bounded interaction rule between neighboring systems. We relate the steady state-behavior of the dynamical network to a static saddle-point problem. The saddle-point description of the system allows for a precise characterization...
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