Synchronisation and pattern formation have been intensely addressed for systems evolving on static networks. Extending the study to include the inherent ability of the network to adjust over time proved cumbersome and led to conclusions which lack of generality, as relying on peculiar assumptions. Here, the master stability formalism is extended to account, in a thoroughly general prospect, for the additional contributions as stemming from the time evolution of the underlying network. The theory is successfully challenged against two illustrative testbeds, which can be respectively ascribed to synchronisation and Turing settings. (c) 2022 Elsevier Ltd. All rights reserved.
Theory of synchronisation and pattern formation on time varying networks / Timoteo Carletti; Duccio Fanelli. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - STAMPA. - 159:(2022), pp. 112180-112180. [10.1016/j.chaos.2022.112180]
Theory of synchronisation and pattern formation on time varying networks
Timoteo Carletti;Duccio Fanelli
2022
Abstract
Synchronisation and pattern formation have been intensely addressed for systems evolving on static networks. Extending the study to include the inherent ability of the network to adjust over time proved cumbersome and led to conclusions which lack of generality, as relying on peculiar assumptions. Here, the master stability formalism is extended to account, in a thoroughly general prospect, for the additional contributions as stemming from the time evolution of the underlying network. The theory is successfully challenged against two illustrative testbeds, which can be respectively ascribed to synchronisation and Turing settings. (c) 2022 Elsevier Ltd. All rights reserved.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.