Pinning generalized synchronization of dynamical networks via coordinate transformations

Juan Gonzalo Barajas-Ramírez, Adriana Ruiz-Silva and Andrés Anzo-Hernández

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 190, issue C, 1164-1175

Abstract: A dynamical network achieves generalized synchronization if there exists an asymptotically stable manifold in which the solution of each node is uniquely determined as a static function of the states of any other node in the network. For bidirectionally coupled networks, the description of a synchronization manifold changes from pairwise-explicit form to an implicit form of the relationship between its nodes. Using this description, we start with a network of identical nodes that can be controlled towards a synchronization manifold, for this bidirectionally coupled network we propose a pinning strategy to impose a desired relation between nodes based on invertible coordinate transformations. We illustrate our results with numerical simulations of well-known chaotic benchmark systems.

Keywords: Pinning; Generalized synchronization; Complex networks (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:190:y:2021:i:c:p:1164-1175

DOI: 10.1016/j.matcom.2021.07.008

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