Regulating synchronous states of complex networks by pinning interaction with an external node.
To shed light on how biological and technological systems can establish or maintain a synchronous functioning, we address the problem of how to engineer an external pinning action on a network of dynamical units. In particular, we study the regulation of a network toward a synchronized behavior by means of a bidirectional interaction with an external node that leaves unchanged its inner parameters and architecture. We demonstrate that there are two classes of networks susceptible of being regulated into a synchronous motion and provide a simple method, for each one of them, to properly design a pinning sequence to achieve regulation. We also discuss how the obtained sequence can be compared with a topological ranking of the network nodes.
Almendral
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Complex Systems Group, ETSIT, Universidad Rey Juan Carlos, Tulipán s/n, Móstoles, Madrid, Spain.
Sendiña-Nadal
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Yu
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Leyva
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Boccaletti
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D000465:Algorithms; D001703:Biophysics / Q000379:methods*; D003195:Computer Communication Networks; D003198:Computer Simulation; D015233:Models, Statistical; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics